Flexible affine cones and flexible coverings

Fuente: arXiv
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Autores principales: Michałek, Matheusz, Perepechko, Alexander, Süß, Hendrik
Formato: Preprint
Publicado: 2016
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author Michałek, Matheusz
Perepechko, Alexander
Süß, Hendrik
author_facet Michałek, Matheusz
Perepechko, Alexander
Süß, Hendrik
contents We provide a new criterion for flexibility of cones over varieties covered by flexible affine varieties. We apply this criterion to prove flexibility of affine cones over secant varieties of Segre--Veronese embeddings and over certain Fano threefolds. We further prove flexibility of total coordinate spaces of Cox rings of del Pezzo surfaces.
format Preprint
id arxiv_https___arxiv_org_abs_1612_01144
institution arXiv
publishDate 2016
record_format arxiv
spellingShingle Flexible affine cones and flexible coverings
Michałek, Matheusz
Perepechko, Alexander
Süß, Hendrik
Algebraic Geometry
14R20, 14J50
We provide a new criterion for flexibility of cones over varieties covered by flexible affine varieties. We apply this criterion to prove flexibility of affine cones over secant varieties of Segre--Veronese embeddings and over certain Fano threefolds. We further prove flexibility of total coordinate spaces of Cox rings of del Pezzo surfaces.
title Flexible affine cones and flexible coverings
topic Algebraic Geometry
14R20, 14J50
url https://arxiv.org/abs/1612.01144