Ramification Theoretic Methods In Algebraic Geometry (Am-43), Volume 43

Shreeram Shankar Abhyankar

ISBN 10: 0691080232 / ISBN 13: 9780691080239

Editore: Parlux, 2005

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Codice articolo E-627-529

Dati bibliografici

• Titolo: Ramification Theoretic Methods In Algebraic Geometry (Am-43), Volume 43
• Editore: Parlux
• Data di pubblicazione: 2005
• Lingua: Inglese
• ISBN 10: 0691080232
• ISBN 13: 9780691080239
• Rilegatura: Softcover
• Condizione: Très bon

Descrizione articolo

Riassunto

A classic treatment of ramification theoretic methods in algebraic geometry from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

Contenuti

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