Local Algebra in Algebraic Geometry

Abstract

Introduction 1 0.1. Associated primes 2 0.2. Depth 2 1. Regular local rings and their cohomological properties 4 1.1. Notions of dimension 4 1.2. Dualizing functor 5 1.3. Local rings 6 1.4. Serre’s theorem on regular local rings 6 1.5. Cohomology of D when global dimension is finite 8 2. Depth 8 2.1. Property (Sk) 8 2.2. Serre’s criterion of normality 10 2… (More)

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Cite this paper

@inproceedings{Wang2012LocalAI, title={Local Algebra in Algebraic Geometry}, author={Jonathan S Wang}, year={2012} }