A polar complex for locally free sheaves

Details A polar complex for locally free sheaves A polar complex for locally free sheaves

2011-01-26

arxiv.org/abs/1101.5114v1

Mathematics

Algebraic Geometry

36 pages

Scientific paper

We construct the so-called polar complex for an arbitrary locally free sheaf on a smooth variety over a field of characteristic zero. This complex is built from logarithmic forms on all irreducible subvarieties with values in a locally free sheaf. We prove that cohomology groups of the polar complex are canonically isomorphic to the cohomology groups of the locally free sheaf. Relations of the polar complex with Rost's cycle modules, algebraic cycles, Hodge structures, Cousin complex, and adelic complex are discussed.

Affiliated with

Also associated with

No associations

Rating

A polar complex for locally free sheaves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A polar complex for locally free sheaves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A polar complex for locally free sheaves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-419635