Algebraic Geometry An Introduction /

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...

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Principais autores: Perrin, Daniel., SpringerLink (Online service)
Formato: Digital
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Assuntos:
Geometria algébrica.
Álgebra.
Matemática.
Endereço do item:http://dx.doi.org/10.1007/978-1-84800-056-8
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spelling oai:localhost:123456789-1296422023-07-17T15:12:45Z Algebraic Geometry An Introduction / Perrin, Daniel. SpringerLink (Online service) Geometria algébrica. Álgebra. Matemática. 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. 0 2022-10-06T07:48:08Z 2022-10-06T07:48:08Z 2008. Digital 512.7 P458a 9781848000568 197502 http://dx.doi.org/10.1007/978-1-84800-056-8 http://dx.doi.org/10.1007/978-1-84800-056-8
institution Acervo SISBI
collection SIGAA
topic Geometria algébrica.
Álgebra.
Matemática.
spellingShingle Geometria algébrica.
Álgebra.
Matemática.
Perrin, Daniel.
SpringerLink (Online service)
Algebraic Geometry An Introduction /
description 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.
format Digital
author Perrin, Daniel.
SpringerLink (Online service)
author_facet Perrin, Daniel.
SpringerLink (Online service)
author_sort Perrin, Daniel.
title Algebraic Geometry An Introduction /
title_short Algebraic Geometry An Introduction /
title_full Algebraic Geometry An Introduction /
title_fullStr Algebraic Geometry An Introduction /
title_full_unstemmed Algebraic Geometry An Introduction /
title_sort algebraic geometry an introduction /
publishDate 2022
url http://dx.doi.org/10.1007/978-1-84800-056-8
work_keys_str_mv AT perrindaniel algebraicgeometryanintroduction
AT springerlinkonlineservice algebraicgeometryanintroduction
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