Ramification Theoretic Methods in Algebraic Geometry

Author:   Shreeram Shankar Abhyankar
Publisher:   Princeton University Press
Edition:   Reprinted edition
Volume:   40
ISBN:  

9780691080239


Pages:   112
Publication Date:   21 July 1959
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Ramification Theoretic Methods in Algebraic Geometry


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Overview

The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), will be forthcoming.

Full Product Details

Author:   Shreeram Shankar Abhyankar
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Edition:   Reprinted edition
Volume:   40
Dimensions:   Width: 21.00cm , Height: 0.60cm , Length: 27.90cm
Weight:   0.255kg
ISBN:  

9780691080239


ISBN 10:   0691080232
Pages:   112
Publication Date:   21 July 1959
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

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

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