Three Lectures On Commutative Algebra
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Three Lectures on Commutative Algebra
Author: Holger Brenner
language: en
Publisher: American Mathematical Soc.
Release Date: 2008
These lectures provides detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its applications: tight closure and vector bundles; combinatorics and commutative algebra; constructive desingularization."
Lectures on Algebraic Geometry II
Author: Günter Harder
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-04-21
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Three Lectures on Commutative Algebra
Author: Holger Brenner
language: en
Publisher: American Mathematical Soc.
Release Date: 2008
This book provides careful and detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its applications. The book is based on courses at the Winter School on Commutative Algebra and Applications held in Barcelona: Tight closure and vector bundles, by H. Brenner; Combinatorics and commutative algebra, by J. Herzog; and Constructive desingularization, by O. Villamayor.