Toroidalization of generating sequences in dimension two function fields of positive characteristic

DOI10.1016/j.jpaa.2006.07.011zbMath1118.14007arXiv0710.0697OpenAlexW2028445089MaRDI QIDQ872173

Olga Kashcheyeva, Laura Ghezzi

Publication date: 27 March 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0697

zbMATH Keywords

valuationstoroidalizationextension of fields

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ramification problems in algebraic geometry (14E22) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (8)

Constructing examples of semigroups of valuations ⋮ The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation ⋮ Irrational behavior of algebraic discrete valuations ⋮ Dependent Artin-Schreier defect extensions and strong monomialization ⋮ A generalisation of the Abhyankar Jung theorem to associated graded rings of valuations ⋮ Ramification of local rings along valuations ⋮ Ramification of Valuations and Local Rings in Positive Characteristic ⋮ Counterexamples to local monomialization in positive characteristic

Cites Work

• Ramification of valuations
• Approximated roots, generating sequences, sufficiency of jets
• Toroidalization of generating sequences in dimension two function fields
• The valuative tree
• Valuations in Function Fields of Surfaces
• Ramification Theoretic Methods in Algebraic Geometry (AM-43)
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