26 mar 2015 -- 14:45
Aula 211, Dip. Matematica, Università "Roma Tre", Roma
A conjecture of Yau, Tian and Donaldson is that the existence of a canonical Kahler metric on an ample line bundle L over projective variety X should be equivalent to K-stability, an algebro-geometric notion which is closely related to Geometry Invariant Theory. However, K-stability is understood in very few specific cases. Given a K-stable Fano variety X, we show that certain finite covers of X are also K-stable, giving algebro-geometric proofs of K-stability in several new examples.