Date: Thursday 7th February 2013 Speaker: Victor Lozovanu (Paris 6) Title: An extension of Kodaira vanishing in arbitrary codimension
Abstract: One of the most celebrated theorems in complex algebraic geometry is Kodaira vanishing, together with its extension due to Kawamata and Viehweg. In this talk I will discuss about a joint work with Greg G. Smith, where we generalize Kodaira vanishing to arbitrary codimension. I will present a few applications to this work; by giving answers to questions of projective normality and bounding the multigraded regularity. I will also discuss some future projects that derive nicely from this work.
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