Orateur
Rita Pardini
Description
I will report on joint work with. M.A. Barja (UPC, Barcelona) and L. Stoppino (Universita' dell'Insubria, Italy)
Given a map $a:X\longrightarrow A$ from a smooth projective variety to an abelian variety and a line bundle $L$ on $X$, we study the "eventual" behaviour of the linear system $|L|$ under base change with the $d$-th multiplication map $A\longrightarrow A$. We prove a factorization theorem stating, roughly speaking, that the correponding map stabilizes for $d$ large and divisible enough.
When $X$ is of general type, $A$ is the Albanese map and $L$ is the canonical bundle, we obtain the so-called "eventual paracanonical" map, which is a new geometrical object intrinsically attached to $X$.
REFERENCES: arXiv: 1606.03301, arXiv: 1606.03290
