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Oberseminar WiSe 2011/12 Zusammenfassung des Vortrags von Slawomir Cynk (Krakau, POL)

Defect of a hypersurface via logarithmic differential forms

The Hodge numbers of a resolution of a nodal double solid or a nodal hypersurface in P4 depends not only on the number of nodes but also on their position express in terms of the so called defect. I will discuss generalization of these two classical results due to Clemens and Werer. The proofs depends in essential way on certain properties of sheaves of logarithmic differential forms.