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arXiv · 1612.01144

Flexible affine cones and flexible coverings

Matheusz Michałek·Alexander Perepechko·Hendrik Süß
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Abstract

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.

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Matheusz Michałek, Alexander Perepechko, Hendrik Süß. 2016-12-04. Flexible affine cones and flexible coverings. https://doi.org/10.1007/s00209-018-2069-2

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