On the blow-up of a normal singularity at maximal Cohen-Macaulay modules
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Publication:2105301
DOI10.1007/s00209-022-03152-yOpenAlexW4311185628MaRDI QIDQ2105301
Publication date: 8 December 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.05441
maximal Cohen-Macaulay modulematrix factorizationGorenstein surface singularityflatifying blowing-up
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Complex surface and hypersurface singularities (32S25) Cohen-Macaulay modules (13C14) Local complex singularities (32S05) McKay correspondence (14E16)
Uses Software
Cites Work
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- \(F\)-blowups of normal surface singularities
- Matrix factorizations and representations of quivers. II: Type \(ADE\) case.
- On Auslander modules of normal surface singularities
- Reflexive modules on minimally elliptic singularities
- Stable reflexive sheaves
- Special representations and the two-dimensional McKay correspondence
- Deformations of rational surface singularities and reflexive modules with an application to flops
- Reflexive modules on quotient surface singularities
- Maximal Cohen-Macaulay modules over the cone of an elliptic curve
- Orbifolds, special varieties and classification theory.
- Über Modifikationen und exzeptionelle analytische Mengen
- Rational singularities, with applications to algebraic surfaces and unique factorization
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- On flattening of coherent sheaves and of projective morphisms
- Threefold flops via matrix factorization
- Universal flattening of Frobenius
- Construction géométrique de la correspondance de McKay
- Reflexive modules on quotient surface singularities.
- The Fundamental Module of a Normal Local Domain of Dimension 2
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- Flattening Theorem in Complex-Analytic Geometry
- Torification and factorization of birational maps
- Introduction to Singularities
- Log canonical models for the moduli space of curves: The first divisorial contraction
- Higher Nash blowups
- Reflexive modules over rational double points
- Reflexive modules over rational double points
