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| Título : |
Algebraic Geometry : An Introduction |
| Tipo de documento: |
documento electrónico |
| Autores: |
Daniel Perrin ; SpringerLink (Online service) |
| Editorial: |
London : Springer London |
| Fecha de publicación: |
2008 |
| Colección: |
Universitext, ISSN 0172-5939 |
| Número de páginas: |
XI, 263 p |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-1-84800-056-8 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Mathematics Algebraic geometry Algebra Geometry General Systems Mathematics, general |
| Clasificación: |
51 Matemáticas |
| Resumen: |
Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study |
| Nota de contenido: |
Affine algebraic sets -- Projective algebraic sets -- Sheaves and varieties -- Dimension -- Tangent spaces and singular points -- Bézout's theorem -- Sheaf cohomology -- Arithmetic genus of curves and the weak Riemann-Roch theorem -- Rational maps, geometric genus and rational curves -- Liaison of space curves |
| En línea: |
http://dx.doi.org/10.1007/978-1-84800-056-8 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34304 |
Algebraic Geometry : An Introduction [documento electrónico] / Daniel Perrin ; SpringerLink (Online service) . - London : Springer London, 2008 . - XI, 263 p : online resource. - ( Universitext, ISSN 0172-5939) . ISBN : 978-1-84800-056-8 Idioma : Inglés ( eng)
| Palabras clave: |
Mathematics Algebraic geometry Algebra Geometry General Systems Mathematics, general |
| Clasificación: |
51 Matemáticas |
| Resumen: |
Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject and assumes only the standard background of undergraduate algebra. It is developed from a masters course given at the Université Paris-Sud, Orsay, and focusses on projective algebraic geometry over an algebraically closed base field. The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study |
| Nota de contenido: |
Affine algebraic sets -- Projective algebraic sets -- Sheaves and varieties -- Dimension -- Tangent spaces and singular points -- Bézout's theorem -- Sheaf cohomology -- Arithmetic genus of curves and the weak Riemann-Roch theorem -- Rational maps, geometric genus and rational curves -- Liaison of space curves |
| En línea: |
http://dx.doi.org/10.1007/978-1-84800-056-8 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34304 |
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