By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Could someone suggest me how to learn some basic theory of schemes? I have two books from algebraic geometry, namely "Diophantine Geometry" from Hindry and Silverman and "Algebraic geometry and arithmetic curves" from Qing Liu. I have had difficulties to prove the equivalence of many definitions.
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Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. Preview — Algebraic Geometry by Kenji Ueno. Algebraic Geometry by Kenji Ueno. Algebraic geometry is built upon two fundamental notions: schemes and sheaves. 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 f Algebraic geometry is built upon two fundamental notions: schemes and sheaves. 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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About Kenji Ueno. Kenji Ueno. Books by Kenji Ueno. As dedicated readers already know, some of the best and most innovative stories on the shelves come from the constantly evolving realm of young ad Read more Trivia About Algebraic Geometry.
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Kenji Ueno
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