Gorensteinness and iteration of Cox rings for Fano type varieties
Abstract: We show that finitely generated Cox rings are Gorenstein. This leads to a refined characterization of varieties of Fano type: they are exactly those projective varieties with Gorenstein canonical quasicone Cox ring. We then show that for varieties of Fano type and Kawamata log terminal quasicones X, iteration of Cox rings is finite with factorial master Cox ring. In particular, even if the class group has torsion, we can express such X as quotients of a factorial canonical quasicone by a solvable reductive group
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Anmerkungen
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Mathematische Zeitschrift. - 301, 1 (2022) , 1047-1061, ISSN: 1432-1823
- DOI
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10.1007/s00209-021-02946-w
- URN
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urn:nbn:de:bsz:25-freidok-2264055
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:29 MESZ
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Beteiligte
- Braun, Lukas
- Universität
Entstanden
- 2022
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