Dano Kim, University of Chicago, USA

L² extension of adjoint line bundle sections

Abstract

We will discuss an L² extension theorem of Ohsawa-Takegoshi type which extends line bundle sections from a subvariety Z of general codimension to its ambient projective variety X. Our setting is to have Z as a log-canonical center, that is, a locus of non-integrable singularity of an adjoint line bundle on X. Such a setting is natural both for application to algebraic geometry and for the general methods to prove L² extension of line bundle sections.