Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

Effective Matsusaka for surfaces in positive characteristic

Andrea Fanelli

created by risa on 19 Mar 2015

24 mar 2015 -- 14:30

Aula 211, Dip. Matematica, Università "Roma Tre", Roma


The problem of determining an effective bound on the multiple which makes an ample divisor D on a smooth variety X very ample is natural and many results are known in characteristic zero. In this talk I will discuss this problem on surfaces in positive characteristic, giving a complete solution in this setting. Our strategy requires an ad hoc study of pathological surfaces, on which Kodaira-type theorems can fail. A Fujita-type theorem and a vanishing result for big and nef divisors on pathological surfaces will also be discussed. This is a joint work with Gabriele Di Cerbo.

Credits | Cookie policy | HTML 5 | CSS 2.1