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9780691080239

Ramification Theoretic Methods in Algebraic Geometry

by
  • ISBN13:

    9780691080239

  • ISBN10:

    0691080232

  • Edition: Reprint
  • Format: Paperback
  • Copyright: 1959-07-01
  • Publisher: Princeton Univ Pr

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Table of Contents

Preface
Introduction
General Ramification Theory
Elementary lemmas from ideal theory
Primary decomposition in non-noetherian rings
Integral dependence
Linear algebra
Discriminant of an algebra
The discriminant ideal
Galois theory of local rings
Valuation Theory
Ordered abelian groups
Valuations
Specialization and composition of valuations
Ramification theory of valuations
Valuations of algebraic function fields
Noetherian Local Rings
The dimension of a noetherian local ring
Quadratic transforms
Two-Dimensional Local Domains
Limits of quadratic sequences
Uniformization in a two-dimensional regular local domain
Uniformization for a two-dimensional algebraic function field
Varieties and Transformations
Projective varieties
Resolution of singularities of algebraic surfaces
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

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