Resolution of singularities of the cotangent sheaf of a singular variety

DOI10.1016/j.aim.2016.11.021zbMath1360.14038arXiv1504.07280OpenAlexW2964236954MaRDI QIDQ502660

Pierre D. Milman, Vincent Grandjean, Edward Bierstone, André Belotto da Silva

Publication date: 5 January 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07280

zbMATH Keywords

resolution of singularitiesFitting idealsmonomializationlogarithmic differential forms

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Rational and birational maps (14E05) Global theory of complex singularities; cohomological properties (32S20) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Complex spaces (32C15)

Related Items (9)

Inner geometry of complex surfaces: a valuative approach ⋮ Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3 ⋮ Local resolution of ideals subordinated to a foliation ⋮ Re-parameterizing and reducing families of normal operators ⋮ Polar exploration of complex surface germs ⋮ Monomialization of a quasianalytic morphism ⋮ Local monomialization of analytic maps ⋮ Monomialization of singular metrics on real surfaces ⋮ Resolution of Singularities: An Introduction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local resolution of ideals subordinated to a foliation
• A simpler proof of toroidalization of morphisms from 3-folds to surfaces
• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• Monomialization of morphisms from 3-folds to surfaces
• Functoriality in resolution of singularities
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• The Laplacian on algebraic threefolds with isolated singularities
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Local monomialization of a system of first integrals of Darboux type
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Proprieta globali degli spazi analitici reali
• Pure Hodge structure on the L2 -cohomology of varieties with isolated singularities
• On the spectral geometry of spaces with cone-like singularities
• Torification and factorization of birational maps
• Toroidalization of dominant morphisms of 3-folds
• The Nash sheaf of a complete resolution

This page was built for publication: Resolution of singularities of the cotangent sheaf of a singular variety