Mini-workshop in algebraic geometry
Aula Beltrami: Thursday, November 26, 2015
14:00 - 15:00, Cinzia Casagrande (Torino): "On the birational geometry of Fano 4-folds with large second Betti number"We will review some results and open problems in the study of the geometry of (smooth, complex) Fano 4-folds, in particular in the case of large second Betti number.
15:10 - 16:10, Ruadhai Dervan (Cambridge): "K-stability of finite covers"
An important result of Chen-Donaldson-Sun and Tian relates the existence of Kaehler-Einstein metrics on Fano varieties to an algebro-geometric notion called K-stability. K-stability is however understood in very few cases. We show that certain finite covers of K-stable Fano varieties are K-stable.
16:30 - 17:30, Stefan Schreieder (Bonn): "Theta divisors with curve summands and the Schottky problem"
This talk is about the following converse of Riemann's theorem: let A be an indecomposable principally polarized abelian variety whose theta divisor can be written as a sum Theta=C+Y of a curve C and a codimension two subvariety Y. Then C is smooth and A is isomorphic to the Jacobian of C. As an easy consequence, we deduce that an irreducible theta divisor admits a dominant rational map from a product of curves if and only if the corresponding principally polarized abelian variety is the Jacobian of a curve.
Supported by:
Dipartimento di Matematica "F. Casorati"
ERC (grant agreement StG 307119).
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602