Homological algebra | Sheaf theory | Cohomology theories

Deligne cohomology

In mathematics, Deligne cohomology is the hypercohomology of the Deligne complex of a complex manifold. It was introduced by Pierre Deligne in unpublished work in about 1972 as a cohomology theory for algebraic varieties that includes both ordinary cohomology and intermediate Jacobians. For introductory accounts of Deligne cohomology see , section 1.5), , and , section 2). (Wikipedia).

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Related pages

Symmetric spectrum | Gerbe | Hodge structure | Differential form | Classifying space | Mathematics | Intermediate Jacobian | Beilinson conjectures | Algebraic variety | Bundle gerbe | Circle bundle | Special values of L-functions | Motivic cohomology | Complex manifold