Toroidalization of generating sequences in dimension two function fields

DOI10.1016/j.jalgebra.2005.09.035zbMath1170.14003arXivmath/0509697OpenAlexW2054256654MaRDI QIDQ855724

Laura Ghezzi, Olga Kashcheyeva, Huy Tái Hà

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509697

zbMATH Keywords

singularitiesvaluationstoroidaldimension twogenerating sequence

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Rational and birational maps (14E05) Valuations and their generalizations for commutative rings (13A18) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (8)

The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation ⋮ Toroidalization of generating sequences in dimension two function fields of positive characteristic ⋮ Irrational behavior of algebraic discrete valuations ⋮ A generalisation of the Abhyankar Jung theorem to associated graded rings of valuations ⋮ Formal prime ideals of infinite value and their algebraic resolution ⋮ 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
• The valuative tree
• Valuations in Function Fields of Surfaces
• On the Valuations Centered in a Local Domain
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