Liftable derivations for generically separably algebraic morphisms of schemes

Details Liftable derivations for generically separably algebraic morphisms of schemes Liftable derivations for generically separably algebraic morphisms of schemes

2006-04-26

arxiv.org/abs/math/0604559v3

Mathematics

Algebraic Geometry

27 pages. Imrproved introduction, corrections of small errors. Accepted Trans. American Math Soc

Scientific paper

We consider dominant, generically algebraic, and tamely ramified (if the characteristic is positive) morphisms $\pi: X/S \to Y/S$, where Y,S are Noetherian and integral and X is a Krull scheme (e.g. normal Noetherian), and study the sheaf of tangent vector fields on Y that lift to tangent vector fields on X. We give an easily computable description of these vector fields using valuations along the critical locus. We generalise to positive characteristic Seidenberg's theorem on lifting tangent vector fields to the normalisation. If $\pi$ is a blow-up of a coherent ideal I we show that tangent vector fields that preserve the Ratliff-Rush hull of I are liftable, and that all liftable tangent vector fields preserve the integral closure of I.

Affiliated with

Also associated with

No associations

Rating

Liftable derivations for generically separably algebraic morphisms of schemes 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 Liftable derivations for generically separably algebraic morphisms of schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Liftable derivations for generically separably algebraic morphisms of schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-505330