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Ramification Theoretic Methods in Algebraic Geometry (AM-43)
Shreeram Shankar Abhyankar

Book Description

TABLE OF CONTENTS:


Preface
Introduction
I. General Ramification Theory
1. Elementary lemmas from ideal theory
2. Primary decomposition in non-noetherian rings
3. Integral dependence
4. Linear algebra
5. Discriminant of an algebra
6. The discriminant ideal
7. Galois theory of local rings
II. Valuation Theory
8. Ordered abelian groups
9. Valuations
10. Specialization and composition of valuations
11. Ramification theory of valuations
12. Valuations of algebraic function fields
III. Noetherian Local Rings
13. The dimension of a noetherian local ring
14. Quadratic transforms
IV. Two-Dimensional Local Domains
15. Limits of quadratic sequences
16. Uniformization in a two-dimensional regular local domain
17. Uniformization for a two-dimensional algebraic function field
V. Varieties and Transformations
18. Projective varieties
19. Resolution of singularities of algebraic surfaces
Bibliography

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File created: 7/11/2014

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