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An extension of Kodaira vanishing in arbitrary codimension

星期一, 11 二月, 2013 - 14:00
Prénom de l'orateur : 
Victor
Nom de l'orateur : 
Lozovanu
Résumé : 

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, wwhere 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 dicuss some future projects that derive nicely from this work.

Institution de l'orateur : 
IMJ, U. Paris 6.
Thème de recherche : 
Algèbre et géométries
Salle : 
04
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