PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians
Seminar:Algebra and Number Theory Seminar
Speaker:Yuri Zarhin, The Pennsylvania State University
Abstract:
We discuss principally polarized complex abelian varieties that admit an automorphism of order 3. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves. (The proof is based on Lefschetz Atiyah--Bott fixed point formula.) As an application, we get another proof of the already known (thanks to Clemens and Griffiths) fact that intermediate jacobians of certain cubic threefolds are not jacobians of curves (and therefore those unirational threefolds are not rational varieties).

Room Reservation Information

Room Number:MB106
Date:09 / 13 / 2007
Time:11:15am - 12:05pm