A simplified proof of desingularization and applications
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Publication:2583386
DOI10.4171/RMI/425zbMath1086.14012arXivmath/0206244OpenAlexW2010061190MaRDI QIDQ2583386
Santiago Encinas, Ana Bravo, Orlando E. Villamayor U.
Publication date: 16 January 2006
Published in: Revista MatemĂĄtica Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0206244
Computational aspects of higher-dimensional varieties (14Q15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15)
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Cites Work
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- Good points of a hypersurface
- Good points and constructive resolution of singularities
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
- Equivariant resolution of singularities in characteristic 0
- Automated resolution of singularities for hypersurfaces
- Weak Hironaka theorem
- 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)
- Algebraic approximation of structures over complete local rings
- SĂ©minaire de gĂ©omĂ©trie algĂ©brique du Bois Marie 1960/61 (SGA 1), dirigĂ© par Alexander Grothendieck. AugmentĂ© de deux exposĂ©s de M. Raynaud. RevĂȘtements Ă©tales et groupe fondamental. ExposĂ©s I Ă XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ătale coverings and fundamental group)
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Constructiveness of Hironaka's resolution
- Quasi-Canonical Uniformization of Hypersurface Singularities of Characteristic Zero
- Smoothness, Semistability, and Toroidal Geometry
- On Algorithmic Equi-Resolution and Stratification of Hilbert Schemes
- 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