ENGLISH

Algebraic Geometry 2: Sheaves and Cohomology

By Kenji Ueno

Book information

Publisher
American Mathematical Society
Year
2001
ISBN
0821813579, 9780821813577
Language
english
Format
PDF
Filesize
24 MB (24810722 bytes)
Series
Translations of mathematical monographs 197
Pages
184\194
Time added
2018-12-26 00:05:01

Description

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.

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