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On cristalline Deligne cohomology

Vologodsky, V (Chicago)
Friday 01 September 2006, 15:30-16:30

Seminar Room 1, Newton Institute


Let X be a smooth projective variety and Y be its infinitesimal deformation. I will give a complete answer to the following question:

when a class in the algebraic K-group of $X$ lifts to $Y$?

The answer will be given in terms of the infinitesimal variation of Hodge structure associated to Y.

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