Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties

Details Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties

2009-11-13

arxiv.org/abs/0911.2568v2

Mathematics

Representation Theory

20 pagies, this is a consise version

Scientific paper

Let $\cP=G/P$ be a homogeneous projective variety with $G$ a reductive group and $P$ a parabolic subgroup. In positive characteristic we exhibit for $G$ of low rank a Karoubian complete strongly exceptional poset of locally free sheaves appearing in the Frobenius direct image of the structure sheaf of $G/P$. These sheaves are all defined over $\bbZ$, so by base change provide a Karoubian complete strongly exceptional poset on $\cP$ over $\bbC$, adding to the list of classical results by Beilinson and Kapranov on the Grassmannians and the quadrics over $\bbC$.

Affiliated with

Also associated with

No associations

Rating

Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties 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 Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some observations on Karoubian complete strongly exceptional posets on the projective homogeneous varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-149436