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Generic Local Structure of the Morphisms in Commutative Algebra

"Generic Local Structure of the Morphisms in Commutative Algebra" is published by Springer London, Limited in 2006 - Berlin, Heidelberg, it has 1 pages and the language of the book is English.


“Generic Local Structure of the Morphisms in Commutative Algebra” Metadata:

  • Title: ➤  Generic Local Structure of the Morphisms in Commutative Algebra
  • Author:
  • Language: English
  • Number of Pages: 1
  • Publisher: Springer London, Limited
  • Publish Date:
  • Publish Location: Berlin, Heidelberg

“Generic Local Structure of the Morphisms in Commutative Algebra” Subjects and Themes:

Edition Specifications:

  • Pagination: iv, 112

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"Generic Local Structure of the Morphisms in Commutative Algebra" Description:

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Intro -- Title Page -- Copyright Page -- Table of Contents -- INTRODUCTION -- LEITFADEN -- Chapter I UNRAM1F1ED MORPH1SMS -- I.1. Derivations and differentials -- I.2 Unramified morphisms -- I.3 Unramified algebras over a field -- I.4 Cartier's equality -- I.5 Separable field extensions -- I.6 ~ and separability -- I.7 no of algebras over a field -- I.8 Geometrically irreducible algebras -- I.9 Irreducible components and base extension -- Appendix I.C. Multiplicative coalgebras -- Chapter II. SMOOTH MORPHISMS -- II.1 Smooth functors -- II.2 Infinitesimal extensions -- II.3 The (truncated) cotangent complex -- II.4 The Jacobian criterion for smoothness -- II.5 Cohen's Theorem -- II.6 Localities over a field -- II.7 Dimension formulas -- II.8 Special criterions for smooth localities -- II. Appendix F. relative finiteness conditions -- II. Appendix T, tangentspaces -- Chapter III ETALE MORPHISMS -- Definition 1.1 -- III.2 Local structure theorem -- III.3 Applications to smooth morphisms -- III.4 Grothendieck-Hensel Lemma -- III.5 Henselian rings -- III.6 Henselization -- III.7 Newton's method -- III.8 Etale algebras over a normal domain -- III.9 Local ramification theory -- III.10 General ramification theory -- III.R Topology on rational points -- Chapter IV SOME FUNDAMENTAL THEOREMS -- IV.1. Hi lbert' s Nu llstellensatz -- IV.2. Zariski's main theorem -- IV.3. Chevalley's constructibility theorem -- IV C The analytic case -- BIBLIOGRAPHY -- INDEX OF NOTATIONS -- INDEX OF SYMBOLS

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