Arithmetic Study Group: Numerical invariants of continuous linear systems
7 February 2017 14:00 in CM103
Let X be a complex, smooth, projective variety with a non trivial map a: X-->A to an abelian variety (an irregular variety). Let L be a line bundle on X. In the first part of my talk I will introduce some classical problems relating the numerical invariants of L, the so called Clifford-Severi inequalities. Then, I will explain a set of new techniques developed recently to obtain such inequalities in a simpler way and how these techniques allow to understand and classify the extremal cases.