On the extension of pluricanonical forms defined on the central fiber of a Kähler family (Junyan Cao - Université Côte d'Azur)

Séminaire « Analyse complexe et équations différentielles »
salle Kampé de Fériet
For a smooth projective holomorphic family of compact complex
manifolds over the open unit 1-disk, Y.-T. Siu  proved that every
plurigenus of the fiber is independent of the fiber. It is conjectured
that the same holds for compact Kähler families.  In this talk, we will
explain some partial results for this conjecture. It is a joint work
with Mihai Paun.

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