Algebraic Geometry / Moduli Seminar 

29/04/2011, 15:00 — 16:00 — Room P3.10, Mathematics Building
Filippo Viviani, University Rome 3

On the birational geometry of the universal Picard variety

We compute the Kodaira dimension and the Iitaka fibration of the universal Picard variety parameterizing line bundles of degree $d$ on curves of genus $g$ under the (technical) assumption that $\gcd (d-g+\mathrm{1,2}g-2)=1$. We also give partial results for arbitrary degrees $d$ and we investigate for which degrees the universal Picard varieties are birational. This is a joint work with G. Bini and C. Fontanari.