On extension of pluricanonical forms for Kaehler families
HARVARD-MIT ALGEBRAIC GEOMETRY
Mihai Paun - University of Bayreuth
We will report on a recent joint work with Junyan Cao, cf. arXiv:2012.05063. The main topics we will discuss are revolving around the extension of pluricanonical forms defined on the central fiber of a family of Kaehler manifolds. For our results to hold we need the divisor of zeros of the said forms to be sufficiently "nice", in a sense that will become clear during the talk.