On constructive desingularization

DOI10.1016/j.jsc.2004.11.014zbMath1120.14010OpenAlexW2069866306MaRDI QIDQ2456555

Orlando E. Villamayor U.

Publication date: 19 October 2007

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2004.11.014

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15)

Uses Software

• SINGULAR
• desing

Cites Work

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• Good points and constructive resolution of singularities
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Automated resolution of singularities for hypersurfaces
• Strong resolution of singularities in characteristic zero
• A new proof of desingularization over fields of characteristic zero
• Sur la théorie du contact maximal. (On the theory of maximal contact)
• A simplified proof of desingularization and applications
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Constructiveness of Hironaka's resolution
• A STRENGTHENING OF RESOLUTION OF SINGULARITIES IN CHARACTERISTIC ZERO
• The Hironaka theorem on resolution of singularities (Or: A proof we always wanted to understand)
• Patching local uniformizations
• Strengthening the theorem of embedded desingularization