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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Evento

Titolo: A canonical torsion-free covering construction for Mori Dream Spaces
Quando: 21/03/2018 - 15:00
Dove: Palazzo Campana - TORINO
Aula: Aula C
Relatore: Michele Rossi
Afferenza: Università di Torino
Locandina: Locandina

Descrizione:

I will begin by recalling a standard construction of a canonical toric embedding of a (non-necessarily projective) Mori Dream Space (MDS), starting from its Cox ring. Then I will show how recent results, jointly obtained with L. Terracini for Q-factorial complete toric varieties, can be easily extended to the canonical ambient toric variety of a MDS: this construction naturally restricts to define a covering space, unramified in codimension 1, of the given MDS, which is still a MDS admitting a torsion-free class group.

In principle, an application of such a covering construction is that the Cox ring of a MDS, which is in general graduated over a class group with non trivial torsion part, could be described in terms of the Cox ring of its canonical covering, which is now graded over a torsion-free class group.

This is a work in progress.

Sede

Sede: Palazzo Campana - Sito web
Indirizzo: Via Carlo Alberto 10
CAP: 10123
Città: TORINO