Lei Song : Kodaira's canonical bundle formula and adjunction

Posted by Lei Song , part of the Graduate Algebraic Geometry Seminar.

At

Dec. 6, 2012, 3 p.m.

In

SEO 712

Abstract

I will follow the titled Kollár's paper. Given a log canonical pair $(X, \Delta)$, we can define the notion of log canonical center (LC center). Kawamata's subadjunction says by restricting the pair $(X, \Delta+\epsilon H)$, for small $\epsilon>0$ and ample $H$, to an exceptional LC center $W$, we can get a klt pair $(W, \Delta_W)$. Kodaira-type canonical bundle formula plays an essential role in the proof. The talk will explain how to choose moduli and boundary divisors in the kind of formula in a natural way.