16
Mai
16. Mai 2019
Oberseminar Zahlentheorie und Arithmetische Geometrie
Gorensteinness and iteration of Cox rings
We show that finitely generated class group-graded 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 (klt) quasicones, iteration of Cox rings is finite with factorial master Cox ring. Moreover, we prove a relative version of Cox ring iteration for almost principal solvable G-bundles and deduce finiteness of iteration e.g. for Picard group-graded Cox rings.
Referent/Referentin
Lukas Braun (Universität Tübingen)
Veranstalter
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Termin
16. Mai 201912:00 Uhr - 13:00 Uhr
Kontakt
Institut für Algebra, Zahlentheorie und Diskrete MathematikWelfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de
Ort
HauptgebäudeGeb.: 1101
Raum: a410
Welfengarten 1
30167 Hannover
