Información de una colección
|
|
Documentos disponibles dentro de esta colección (9)
Refinar búsqueda
Título : Classification of Higher Dimensional Algebraic Varieties Tipo de documento: documento electrónico Autores: Christopher D. Hacon ; SpringerLink (Online service) ; Sándor Kovács Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Oberwolfach Seminars num. 41 Número de páginas: 220 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0290-7 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Geometry Clasificación: 51 Matemáticas Resumen: This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. The first part gives a detailed account of recent results in the minimal model program. In particular, it contains a complete proof of the theorems on the existence of flips, on the existence of minimal models for varieties of log general type and of the finite generation of the canonical ring. The second part is an introduction to the theory of moduli spaces. It includes topics such as representing and moduli functors, Hilbert schemes, the boundedness, local closedness and separatedness of moduli spaces and the boundedness for varieties of general type. The book is aimed at advanced graduate students and researchers in algebraic geometry Nota de contenido: Basics -- Preliminaries -- Singularities -- Recent advances in the minimal model program -- The main result -- Multiplier ideal sheaves -- Finite generation of the restricted algebra -- Log terminal models -- Non-vanishing -- Finiteness of log terminal models -- Compact moduli spaces of canonically polarized varieties -- Moduli problems -- Hilbert schemes -- The construction of the moduli space -- Families and moduli functors -- Singularities of stable varieties -- Subvarieties of moduli spaces En línea: http://dx.doi.org/10.1007/978-3-0346-0290-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33674 Classification of Higher Dimensional Algebraic Varieties [documento electrónico] / Christopher D. Hacon ; SpringerLink (Online service) ; Sándor Kovács . - Basel : Birkhäuser Basel, 2010 . - 220 p : online resource. - (Oberwolfach Seminars; 41) .
ISBN : 978-3-0346-0290-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Geometry Clasificación: 51 Matemáticas Resumen: This book focuses on recent advances in the classification of complex projective varieties. It is divided into two parts. The first part gives a detailed account of recent results in the minimal model program. In particular, it contains a complete proof of the theorems on the existence of flips, on the existence of minimal models for varieties of log general type and of the finite generation of the canonical ring. The second part is an introduction to the theory of moduli spaces. It includes topics such as representing and moduli functors, Hilbert schemes, the boundedness, local closedness and separatedness of moduli spaces and the boundedness for varieties of general type. The book is aimed at advanced graduate students and researchers in algebraic geometry Nota de contenido: Basics -- Preliminaries -- Singularities -- Recent advances in the minimal model program -- The main result -- Multiplier ideal sheaves -- Finite generation of the restricted algebra -- Log terminal models -- Non-vanishing -- Finiteness of log terminal models -- Compact moduli spaces of canonically polarized varieties -- Moduli problems -- Hilbert schemes -- The construction of the moduli space -- Families and moduli functors -- Singularities of stable varieties -- Subvarieties of moduli spaces En línea: http://dx.doi.org/10.1007/978-3-0346-0290-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33674 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Conformal Differential Geometry : Q-Curvature and Conformal Holonomy Tipo de documento: documento electrónico Autores: Helga Baum ; SpringerLink (Online service) ; Andreas Juhl Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Oberwolfach Seminars num. 40 Número de páginas: X, 152 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-9909-2 Idioma : Inglés (eng) Palabras clave: Mathematics Differential geometry Geometry Clasificación: 51 Matemáticas Resumen: Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of conformally covariant operators are the Yamabe, the Paneitz, the Dirac and the twistor operator. These operators are intimely connected with the notion of Branson’s Q-curvature. The aim of these lectures is to present the basic ideas and some of the recent developments around Q -curvature and conformal holonomy. The part on Q -curvature starts with a discussion of its origins and its relevance in geometry and spectral theory. The following lectures describe the fundamental relation between Q -curvature and scattering theory on asymptotically hyperbolic manifolds. Building on this, they introduce the recent concept of Q -curvature polynomials and use these to reveal the recursive structure of Q -curvatures. The part on conformal holonomy starts with an introduction to Cartan connections and its holonomy groups. Then we define holonomy groups of conformal manifolds, discuss its relation to Einstein metrics and recent classification results in Riemannian and Lorentzian signature. In particular, we explain the connection between conformal holonomy and conformal Killing forms and spinors, and describe Fefferman metrics in CR geometry as Lorentzian manifold with conformal holonomy SU(1,m) En línea: http://dx.doi.org/10.1007/978-3-7643-9909-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33781 Conformal Differential Geometry : Q-Curvature and Conformal Holonomy [documento electrónico] / Helga Baum ; SpringerLink (Online service) ; Andreas Juhl . - Basel : Birkhäuser Basel, 2010 . - X, 152 p : online resource. - (Oberwolfach Seminars; 40) .
ISBN : 978-3-7643-9909-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential geometry Geometry Clasificación: 51 Matemáticas Resumen: Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of conformally covariant operators are the Yamabe, the Paneitz, the Dirac and the twistor operator. These operators are intimely connected with the notion of Branson’s Q-curvature. The aim of these lectures is to present the basic ideas and some of the recent developments around Q -curvature and conformal holonomy. The part on Q -curvature starts with a discussion of its origins and its relevance in geometry and spectral theory. The following lectures describe the fundamental relation between Q -curvature and scattering theory on asymptotically hyperbolic manifolds. Building on this, they introduce the recent concept of Q -curvature polynomials and use these to reveal the recursive structure of Q -curvatures. The part on conformal holonomy starts with an introduction to Cartan connections and its holonomy groups. Then we define holonomy groups of conformal manifolds, discuss its relation to Einstein metrics and recent classification results in Riemannian and Lorentzian signature. In particular, we explain the connection between conformal holonomy and conformal Killing forms and spinors, and describe Fefferman metrics in CR geometry as Lorentzian manifold with conformal holonomy SU(1,m) En línea: http://dx.doi.org/10.1007/978-3-7643-9909-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33781 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Discrete Differential Geometry / SpringerLink (Online service) ; Alexander I. Bobenko ; John M. Sullivan ; Schröder, Peter ; Günter M. Ziegler (2008)
Título : Discrete Differential Geometry Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Alexander I. Bobenko ; John M. Sullivan ; Schröder, Peter ; Günter M. Ziegler Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Oberwolfach Seminars num. 38 Número de páginas: X, 341 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8621-4 Idioma : Inglés (eng) Palabras clave: Mathematics Convex geometry Discrete Differential and Geometry Clasificación: 51 Matemáticas Resumen: Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field Nota de contenido: Discretization of Surfaces: Special Classes and Parametrizations -- Surfaces from Circles -- Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples -- Designing Cylinders with Constant Negative Curvature -- On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces -- Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow -- The Discrete Green’s Function -- Curvatures of Discrete Curves and Surfaces -- Curves of Finite Total Curvature -- Convergence and Isotopy Type for Graphs of Finite Total Curvature -- Curvatures of Smooth and Discrete Surfaces -- Geometric Realizations of Combinatorial Surfaces -- Polyhedral Surfaces of High Genus -- Necessary Conditions for Geometric Realizability of Simplicial Complexes -- Enumeration and Random Realization of Triangulated Surfaces -- On Heuristic Methods for Finding Realizations of Surfaces -- Geometry Processing and Modeling with Discrete Differential Geometry -- What Can We Measure? -- Convergence of the Cotangent Formula: An Overview -- Discrete Differential Forms for Computational Modeling -- A Discrete Model of Thin Shells En línea: http://dx.doi.org/10.1007/978-3-7643-8621-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34401 Discrete Differential Geometry [documento electrónico] / SpringerLink (Online service) ; Alexander I. Bobenko ; John M. Sullivan ; Schröder, Peter ; Günter M. Ziegler . - Basel : Birkhäuser Basel, 2008 . - X, 341 p : online resource. - (Oberwolfach Seminars; 38) .
ISBN : 978-3-7643-8621-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Convex geometry Discrete Differential and Geometry Clasificación: 51 Matemáticas Resumen: Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field Nota de contenido: Discretization of Surfaces: Special Classes and Parametrizations -- Surfaces from Circles -- Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples -- Designing Cylinders with Constant Negative Curvature -- On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces -- Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow -- The Discrete Green’s Function -- Curvatures of Discrete Curves and Surfaces -- Curves of Finite Total Curvature -- Convergence and Isotopy Type for Graphs of Finite Total Curvature -- Curvatures of Smooth and Discrete Surfaces -- Geometric Realizations of Combinatorial Surfaces -- Polyhedral Surfaces of High Genus -- Necessary Conditions for Geometric Realizability of Simplicial Complexes -- Enumeration and Random Realization of Triangulated Surfaces -- On Heuristic Methods for Finding Realizations of Surfaces -- Geometry Processing and Modeling with Discrete Differential Geometry -- What Can We Measure? -- Convergence of the Cotangent Formula: An Overview -- Discrete Differential Forms for Computational Modeling -- A Discrete Model of Thin Shells En línea: http://dx.doi.org/10.1007/978-3-7643-8621-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34401 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Hemodynamical Flows : Modeling, Analysis and Simulation Tipo de documento: documento electrónico Autores: Giovanni P. Galdi ; SpringerLink (Online service) ; Anne M. Robertson ; Rolf Rannacher ; Stefan Turek Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2008 Colección: Oberwolfach Seminars num. 37 Número de páginas: XII, 501 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7806-6 Idioma : Inglés (eng) Palabras clave: Medicine Human physiology Computer simulation Applied mathematics Engineering Mathematical models Biomathematics Biomedicine Physiology Modeling and Industrial Mathematics Simulation Applications of Physiological, Cellular Medical Topics Computational Numerical Analysis Clasificación: 51 Matemáticas Nota de contenido: Review of Relevant Continuum Mechanics -- Hemorheology -- Mathematical Problems in Classical and Non-Newtonian Fluid Mechanics -- Methods for Numerical Flow Simulation -- Numerics of Fluid-Structure Interaction -- Numerical Techniques for Multiphase Flow with Liquid-Solid Interaction En línea: http://dx.doi.org/10.1007/978-3-7643-7806-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34385 Hemodynamical Flows : Modeling, Analysis and Simulation [documento electrónico] / Giovanni P. Galdi ; SpringerLink (Online service) ; Anne M. Robertson ; Rolf Rannacher ; Stefan Turek . - Basel : Birkhäuser Basel, 2008 . - XII, 501 p : online resource. - (Oberwolfach Seminars; 37) .
ISBN : 978-3-7643-7806-6
Idioma : Inglés (eng)
Palabras clave: Medicine Human physiology Computer simulation Applied mathematics Engineering Mathematical models Biomathematics Biomedicine Physiology Modeling and Industrial Mathematics Simulation Applications of Physiological, Cellular Medical Topics Computational Numerical Analysis Clasificación: 51 Matemáticas Nota de contenido: Review of Relevant Continuum Mechanics -- Hemorheology -- Mathematical Problems in Classical and Non-Newtonian Fluid Mechanics -- Methods for Numerical Flow Simulation -- Numerics of Fluid-Structure Interaction -- Numerical Techniques for Multiphase Flow with Liquid-Solid Interaction En línea: http://dx.doi.org/10.1007/978-3-7643-7806-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34385 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Lectures on Algebraic Statistics Tipo de documento: documento electrónico Autores: Mathias Drton ; SpringerLink (Online service) ; Bernd Sturmfels ; Seth Sullivant Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2009 Colección: Oberwolfach Seminars num. 39 Número de páginas: VIII, 172 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8905-5 Idioma : Inglés (eng) Palabras clave: Statistics Algebraic geometry Probabilities Statistical Theory and Methods Geometry Probability Stochastic Processes Clasificación: 51 Matemáticas Resumen: How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models Nota de contenido: Markov Bases -- Likelihood Inference -- Conditional Independence -- Hidden Variables -- Bayesian Integrals -- Exercises -- Open Problems En línea: http://dx.doi.org/10.1007/978-3-7643-8905-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34092 Lectures on Algebraic Statistics [documento electrónico] / Mathias Drton ; SpringerLink (Online service) ; Bernd Sturmfels ; Seth Sullivant . - Basel : Birkhäuser Basel, 2009 . - VIII, 172 p : online resource. - (Oberwolfach Seminars; 39) .
ISBN : 978-3-7643-8905-5
Idioma : Inglés (eng)
Palabras clave: Statistics Algebraic geometry Probabilities Statistical Theory and Methods Geometry Probability Stochastic Processes Clasificación: 51 Matemáticas Resumen: How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models Nota de contenido: Markov Bases -- Likelihood Inference -- Conditional Independence -- Hidden Variables -- Bayesian Integrals -- Exercises -- Open Problems En línea: http://dx.doi.org/10.1007/978-3-7643-8905-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34092 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar PermalinkPermalinkPermalinkPermalink
