Effective global generation on manifolds with numerically trivial canonical bundle

Date/heure
16 septembre 2019
15:30 - 16:30

Oratrice ou orateur
Alex Kà¼ronya

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

If L is a line bundle on a projective manifold, then the existence of effective bounds for its tensor powers to have global sections or become globally generated have been a central problem in algebaic geometry for the last 150 years. While the case of curves follows from Riemann-Roch, satsifactory answers for surfaces only arrived about thirty years ago. Research in the area has been mostly motivated by Fujita’s conjectures predicting the global generation and very ampleness of certain adjoint line bundles. In this talk we will consider the case of effective global generation for projective manifolds with numerically trivial canonical bundle. This is an account of joint work with Yusuf Mustopa.