Mathematics – Algebraic Geometry
Scientific paper
2009-01-15
Mathematics
Algebraic Geometry
3 pages
Scientific paper
Schwede proved very recently in arXiv:0901.1154 that in a quasiprojective scheme X with a fixed Frobenius splitting, there are only finitely many subschemes {Y} that are compatibly split. (A simpler proof has already since been given in arXiv:0901.2098, by Kumar and Mehta.) It follows that their deformations (as compatibly split subschemes) are obstructed. We give a short proof that if X is projective, its compatibly split subschemes {Y} have no deformations at all (again, as compatibly split subschemes). This reproves Schwede's result in some simple cases.
No associations
LandOfFree
Compatibly Frobenius split subschemes are rigid 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 Compatibly Frobenius split subschemes are rigid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compatibly Frobenius split subschemes are rigid will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-589663