Flexible affine cones and flexible coverings

Michalek, Mateusz; Perepechko, Alexander; Süß, Hendrik

Flexible affine cones and flexible coverings

Dateien

Michalek_2-n245l7gr86n20.pdfGröße: 654.43 KBDownloads: 260

Datum

2018

Autor:innen

Michalek, Mateusz

Perepechko, Alexander

Süß, Hendrik

Open Access-Veröffentlichung

Open Access Hybrid

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematische Zeitschrift. Springer. 2018, 290(3-4), pp. 1457-1478. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s00209-018-2069-2

Zusammenfassung

We provide a new criterion for flexibility of affine 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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Automorphism group, Transitivity, Flexibility, Affine cone, Cox ring, Segre–Veronese embedding, Secant variety, Del Pezzo surface

Zitieren

ISO 690

MICHALEK, Mateusz, Alexander PEREPECHKO, Hendrik SÜSS, 2018. Flexible affine cones and flexible coverings. In: Mathematische Zeitschrift. Springer. 2018, 290(3-4), pp. 1457-1478. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s00209-018-2069-2

BibTex

@article{Michalek2018-12Flexi-52538,
  year={2018},
  doi={10.1007/s00209-018-2069-2},
  title={Flexible affine cones and flexible coverings},
  number={3-4},
  volume={290},
  issn={0025-5874},
  journal={Mathematische Zeitschrift},
  pages={1457--1478},
  author={Michalek, Mateusz and Perepechko, Alexander and Süß, Hendrik}
}

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