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Algebraic Geometry 2

Kenji Ueno

出版	American Mathematical Soc., 1999
主題	Mathematics / Geometry / Algebraic
ISBN	08218135799780821813577
URL	http://books.google.com.hk/books?id=eLfFlBXS0voC&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.