Extended equivariant Picard complexes and homogeneous spaces

Mathematics – Algebraic Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

32 pages. Final version, to appear in Transformation Groups

Scientific paper

Let k be a field of characteristic 0 and let X be a smooth geometrically integral k-variety. In our previous paper we defined the extended Picard complex UPic(X) as a certain complex of Galois modules in degrees 0 and 1. We computed the isomorphism class of UPic(G) in the derived category of Galois modules for a connected linear k-group G. In this paper we assume that X is a homogeneous space of a connected linear k-group G with geometric stabilizer H. We compute the isomorphism class of UPic(X) in the derived category of Galois modules in terms of the character groups of G and H. The proof is based on the notion of the extended equivariant Picard complex UPic_G(X) of a G-variety X.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Extended equivariant Picard complexes and homogeneous spaces 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 Extended equivariant Picard complexes and homogeneous spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extended equivariant Picard complexes and homogeneous spaces will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-10460

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.