On flattening of coherent sheaves and of projective morphisms

DOI10.1016/j.jalgebra.2005.01.022zbMath1087.14011OpenAlexW4212832118MaRDI QIDQ2576977

Orlando E. Villamayor U.

Publication date: 29 December 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.022

zbMATH Keywords

blow-upbirational morphismgeometrically flat modulesGrothendieck flattening

Mathematics Subject Classification ID

Related Items (10)

Deformations of rational surface singularities and reflexive modules with an application to flops ⋮ Divisors of a module and blow up ⋮ A Nobile-like theorem for jet schemes of hypersurfaces ⋮ On Ratliff-Rush closure of modules ⋮ Computational aspects of the higher Nash blowup of hypersurfaces ⋮ On monotonicity of F-blowup sequences ⋮ On the \(k\)-torsion of the module of differentials of order \(n\) of hypersurfaces ⋮ Total blow-ups of modules and universal flatifications ⋮ Resolution of Singularities: An Introduction ⋮ On the blow-up of a normal singularity at maximal Cohen-Macaulay modules

Cites Work

• Specialization of integral dependence for modules
• Multiplicities and equisingularity of ICIS germs
• What is the Rees algebra of a module?
• Mixed Buchsbaum-Rim Multiplicities
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
• Characterizing Moišezon spaces by almost positive coherent analytic sheaves
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