Invariant Hilbert scheme resolution of Popov's SL(2)-varieties I: the toric case

2018/09/05 by Kubota Ayako, Kubota, Ayako
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1809.01512

Abstract

We show that every 3-dimensional affine normal quasihomogeneous SL(2)-variety has an equivariant resolution of singularities given by an invariant Hilbert scheme. This article treats the case where such SL(2)-variety is toric. The non-toric case is considered in the forthcoming article [Kub18].

Related

• Invariant Hilbert scheme resolution of Popov's SL(2)-varieties II: the non-toric case
• On the geometry of SL(2)-equivariant flips
• Toric singularities revisited
• Partial resolutions of Hilbert type, Dynkin diagrams, and generalized Kummer varieties
• Desingularization of toric and binomial varieties