Algebraic Geometry 2: Sheaves and Cohomology

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Algebraic Geometry 2: Sheaves and Cohomology

Name: Algebraic Geometry 2: Sheaves and Cohomology
ISBN: 9780821813577

Kenji Ueno, 上野健爾

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Algebraic geometry is built upon two fundamental notions: schemes and sheaves. The theory of schemes was explained in Algebraic Geometry 1: From Algebraic Varieties to Schemes. In this volume, the author turns to the theory of sheaves and their cohomology. A sheaf is a way of keeping track of local information defined on a topological space, such as the local holomorphic functions on a complex manifold or the local sections of a vector bundle. To study schemes, it is useful to study the sheaves defined on them, especially the coherent and quasicoherent sheaves.

카테고리:

Mathematics

년:

2001

출판사:

American Mathematical Society

언어:

english

페이지:

184

ISBN 10:

0821813579