Monoidal transforms and invariants of singularities in positive characteristic

DOI10.1112/S0010437X1200084XzbMath1278.14019arXiv1004.1803OpenAlexW2963060943MaRDI QIDQ2852240

Orlando E. Villamayor U., Angélica Benito Sualdea

Publication date: 8 October 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1803

zbMATH Keywords

resolution of singularitiespositive characteristicdifferential operatorsRees algebrasmonomial ideals.

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Graded rings (13A02)

Related Items (12)

A simpler proof of toroidalization of morphisms from 3-folds to surfaces ⋮ Resolution of singularities of arithmetical threefolds ⋮ The \(\tau \)-invariant and elimination ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ Techniques for the study of singularities with applications to resolution of 2-dimensional schemes ⋮ Cycles of singularities appearing in the resolution problem in positive characteristic ⋮ On the problem of resolution of singularities: its development and current status (from a myopic point of view of one researcher struggling with the problem) ⋮ Equimultiplicity, algebraic elimination, and blowing-up ⋮ Characterizing the increase of the residual order under blowup in positive characteristic ⋮ On the simplication of singularities by blowing up at equimultiple centers ⋮ Resolution of Singularities: An Introduction ⋮ Multiplicity along points of a radicial covering of a regular variety

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