Ramification theoretic methods in algebraic geometry

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Ramification theoretic methods in algebraic geometry / by Shreeram Abhyankar

資料種別:: 図書
出版情報:: Princeton, N.J. : Princeton University Press, 1959
形態:: vi, 96 p. ; 25 cm
シリーズ名:: Annals of mathematics studies ; no. 43 <BA00300336>
著者名:: Abhyankar, Shreeram Shankar, 1930- <DA01271364>
ISBN:: 9780691080239 [0691080232]
書誌ID:: BA1039984X

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注記:

Bibliography: p. 95-96

主題:

Fields, Algebraic; Geometry, Algebraic

言語:

英語

目次情報:

Preface

Introduction

General Ramification Theory / I：

Elementary lemmas from ideal theory / 1：

Primary decomposition in non-noetherian rings / 2：

Integral dependence / 3：

Linear algebra / 4：

Discriminant of an algebra / 5：

The discriminant ideal / 6：

Galois theory of local rings / 7：

Valuation Theory / II：

Ordered abelian groups / 8：

Valuations / 9：

Specialization and composition of valuations / 10：

Ramification theory of valuations / 11：

Valuations of algebraic function fields / 12：

Noetherian Local Rings / III：

The dimension of a noetherian local ring / 13：

Quadratic transforms / 14：

Two-Dimensional Local Domains / IV：

Limits of quadratic sequences / 15：

Uniformization in a two-dimensional regular local domain / 16：

Uniformization for a two-dimensional algebraic function field / 17：

Varieties and Transformations / V：

Projective varieties / 18：

Resolution of singularities of algebraic surfaces / 19：

Bibliography

Preface

Introduction

General Ramification Theory / I：

Elementary lemmas from ideal theory / 1：

Primary decomposition in non-noetherian rings / 2：

Integral dependence / 3：

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