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Ramification Theoretic Methods in Algebraic Geometry

Shreeram Shankar Abhyankar

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English
Princeton University Press
27 May 1994
The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), will be forthcoming.
By:  
Imprint:   Princeton University Press
Country of Publication:   United States
Edition:   Reprinted edition
Volume:   40
Dimensions:   Height: 279mm,  Width: 210mm,  Spine: 6mm
Weight:   255g
ISBN:   9780691080239
ISBN 10:   0691080232
Series:   Annals of Mathematics Studies
Pages:   112
Publication Date:  
Audience:   Professional and scholarly ,  College/higher education ,  Undergraduate ,  Primary
Format:   Paperback
Publisher's Status:   Active
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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