Ramification theoretic methods in algebraic geometry
Author(s)
Bibliographic Information
Ramification theoretic methods in algebraic geometry
(Annals of mathematics studies, no. 43)
Princeton University Press, 1959
Available at / 85 libraries
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Library & Science Information Center, Osaka Prefecture University
NDC8:410.8||15||4390000378793
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Note
Bibliography: p. 95-96
Description and Table of Contents
Description
The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), will be forthcoming.
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
by "Nielsen BookData"