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1.

図書
図書
1. Introduction to algebraic geometry
Serge Lang
出版情報: New York : Interscience, 1958  xi, 260 p. ; 23 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no. 5
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2.

図書
図書
2. Ramification theoretic methods in algebraic geometry
by Shreeram Abhyankar
出版情報: Princeton, N.J. : Princeton University Press, 1959  vi, 96 p. ; 25 cm
シリーズ名: Annals of mathematics studies ; no. 43
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目次情報: 続きを見る
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：
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