Holmstrom Cristalline Deligne cohomology

Cristalline Deligne cohomology

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Cristalline Deligne cohomology

AG (Algebraic geometry)

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Cristalline Deligne cohomology

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Cristalline Deligne cohomology

This is notion used in this preprint of Vologodsky: Some applications of Goodwillie’s theorem. It is a cohomology theory for schemes over $\mathbb{C}$, which agrees with usual Deligne cohomology when the scheme is smooth. The preprint studies infinitesimal deformations of varieties and questions of liftings of K-classes, using Hodge theory.

nLab page on Cristalline Deligne cohomology