On the behavior of test ideals under finite morphisms

Details On the behavior of test ideals under finite morphisms On the behavior of test ideals under finite morphisms

2010-03-23

arxiv.org/abs/1003.4333v3

Mathematics

Algebraic Geometry

33 pages. The appendix has been removed (it will appear in a different work). Minor changes and typos corrected throughout. To

Scientific paper

We derive transformation rules for test ideals and $F$-singularities under an arbitrary finite surjective morphism $\pi : Y \to X$ of normal varieties in prime characteristic $p > 0$. The main technique is to relate homomorphisms $F_{*} O_{X} \to O_{X}$, such as Frobenius splittings, to homomorphisms $F_{*} O_{Y} \to O_{Y}$. In the simplest cases, these rules mirror transformation rules for multiplier ideals in characteristic zero. As a corollary, we deduce sufficient conditions which imply that trace is surjective, i.e. $Tr_{Y/X}(\pi_{*}O_{Y}) = O_{X}$.

Affiliated with

Also associated with

No associations

Rating

On the behavior of test ideals under finite morphisms 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 On the behavior of test ideals under finite morphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the behavior of test ideals under finite morphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-211017