Para-abelian varieties and the Albanese map

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Event details

Date 08.03.2022
Hour 10:1512:00
Speaker Stefan Schroer (Universität Düsseldorf)
Location
Category Conferences - Seminars
Event Language English

We show that for each scheme  that is separated and of finite type over a field, and whose affinization is   connected and reduced, there is a universal morphism to some para-abelian variety. The latter are schemes that acquire  the structure of an  abelian variety after some ground field extension. This extends a classical result   of Serre. The proof relies on the corresponding result in the proper case, which was obtained before in a joint work with Bruno Laurent. The open case also relies on Macaulayfication, removal of singularities by alterations, pseudo-rational singularities, and Bockstein maps.

Practical information

  • Informed public
  • Free

Organizer

  • Fabio Bernasconi

Contact

  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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