Higher Nash blowup on normal toric varieties

DOI10.1016/j.jalgebra.2014.07.005zbMath1298.14056arXiv1305.5661OpenAlexW2963983881MaRDI QIDQ406353

Daniel C. S. Duarte

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1305.5661

zbMATH Keywords

Gröbner basisfanhigher Nash blowupnormal toric variety

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Rational and birational maps (14E05) Birational geometry (14E99)

Related Items (7)

Nash blowups in prime characteristic ⋮ 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 ⋮ Higher Nash blowups of the A₃-singularity ⋮ Higher Nash blowups of normal toric varieties in prime characteristic ⋮ Resolution of Singularities: An Introduction

Uses Software

• SINGULAR

Cites Work

• Toric geometry and the Semple-Nash modification
• Some properties of the Nash blowingup
• Nash resolution for binomial varieties as Euclidean division. A priori termination bound, polynomial complexity in essential dimension 2
• Quotient spaces modulo reductive algebraic groups
• Universal flattening of Frobenius
• Higher Nash blowups
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