Algebraic Geometry 2: Sheaves and Cohomology
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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.
LF/914638324/R
Data sheet
- Name of the Author
- Kenji Ueno
上野 健爾 - Language
- English
- Series
- Translations of mathematical monographs 197
- ISBN
- 9780821813577
- Release date
- 2001
