{"product_id":"ramification-theoretic-methods-in-algebraic-geometry-9780691080239","title":"Ramification Theoretic Methods in Algebraic","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), will be forthcoming.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface  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","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":51037263364439,"sku":"9780691080239","price":49.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691080239.jpg?v=1750935045","url":"https:\/\/bookcurl.com\/products\/ramification-theoretic-methods-in-algebraic-geometry-9780691080239","provider":"Book Curl","version":"1.0","type":"link"}