Generic Vanishing fails for Surfaces in Positive Characteristic
Stefano Filipazzi (University of Utah)
Aula Beltrami - Thursday, May 18, 2017 h.16:00
Abstract. Generic Vanishing is a very powerful tool in the study of
irregular varieties. Recently, Hacon and Kovàcs showed that this vanishing
theorem does not extend to positive characteristc: They provide
counterexamples in dimension three and higher. In this talk, we discuss
how to produce a counterexample to Generic Vanishing in dimension two.
Furthermore, we improve the result of Hacon and Kovàcs by producing
counterexamples for which the Albanese map is finite.
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602