English

Flexible affine cones and flexible coverings

Algebraic Geometry 2024-04-18 v1

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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Cite

@article{arxiv.1612.01144,
  title  = {Flexible affine cones and flexible coverings},
  author = {Matheusz Michałek and Alexander Perepechko and Hendrik Süß},
  journal= {arXiv preprint arXiv:1612.01144},
  year   = {2024}
}

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19 pages