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Semipurity of tempered Deligne cohomology by Gil, J. I. Burgos is a scholarly article available to read on EtoBox.

What is Semipurity of tempered Deligne cohomology about?

In this paper we define the formal and tempered Deligne cohomology groups, that are obtained by applying the Deligne complex functor to the complexes of formal differential forms and tempered currents respectively. We then prove the existence of a duality between them, a vanishing theorem for the former and a semipurity property for the latter. The motivation of these results comes from the study of covariant arithmetic Chow groups. The semi-purity property of tempered Deligne cohomology implies, in particular, that several definitions of covariant arithmetic Chow groups agree for projective arithmetic varieties.

Author

Gil, J. I. Burgos

Published

2010

Language

EN