Higher Nash blowups

DOI10.1112/S0010437X0700276XzbMath1135.14011arXivmath/0512184MaRDI QIDQ5434672

Takehiko Yasuda

Publication date: 7 January 2008

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512184

zbMATH Keywords

resolution of singularitiesHilbert scheme of pointsNash blowing-upnumerical monoid of a branch.

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of curves, local rings (14H20) Local deformation theory, Artin approximation, etc. (14B12)

Related Items (15)

Nash blowups in prime characteristic ⋮ A higher-order tangent map and a conjecture on the higher Nash blowup of curves ⋮ Divisors of a module and blow up ⋮ Higher Nash blowup on normal toric varieties ⋮ Higher Nash blow-up local algebras of singularities and its derivation Lie algebras ⋮ A Nobile-like theorem for jet schemes of hypersurfaces ⋮ Factorization of the normalization of the Nash blowup of order \(n\) of \(\mathcal{A}_n\) by the minimal resolution ⋮ Computational aspects of the higher Nash blowup of hypersurfaces ⋮ Today’s menu: Geometry and resolution of singular algebraic surfaces ⋮ Higher Nash blowups of the A₃-singularity ⋮ Higher Nash blowups of normal toric varieties in prime characteristic ⋮ On the problem of resolution of singularities in positive characteristic (Or: A proof we are still waiting for) ⋮ Nash blow-ups of jet schemes ⋮ Resolution of Singularities: An Introduction ⋮ On the blow-up of a normal singularity at maximal Cohen-Macaulay modules

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