q-bic Hypersurfaces

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Event details

Date 17.11.2022
Hour 10:1511:45
Speaker Raymond Cheng (Leibniz Universität Hannover)
Location
Category Conferences - Seminars
Event Language English

Let’s count: 1, 2, q+1. The eponymous objects are special projective hypersurfaces of degree q+1, where q is a power of the positive ground field characteristic. This talk will sketch an analogy between the geometry of q-bic hypersurfaces and that of quadric and cubic hypersurfaces. For instance, the moduli spaces of linear spaces in q-bics are smooth and themselves have rich geometry. In the case of q-bic threefolds, I will describe an analogue of result of Clemens and Griffiths, which relates the intermediate Jacobian of the q-bic with the Albanese of its surface of lines. 

Practical information

  • Informed public
  • Free

Organizer

  • Stefano Filipazzi

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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