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Algebraic Geometry 2: Sheaves and Cohomology

Algebraic Geometry 2: Sheaves and Cohomology

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.
Categories:
Year:
2001
Publisher:
American Mathematical Society
Language:
english
Pages:
184
ISBN 10:
0821813579
ISBN 13:
9780821813577
Series:
Translations of mathematical monographs 197
File:
PDF, 23.66 MB
IPFS:
CID , CID Blake2b
english, 2001
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