Stratifications of Newton polygon strata and Traverso's conjectures for p-divisible groups

Details Stratifications of Newton polygon strata and Traverso's conjectures for p-divisible groups Stratifications of Newton polygon strata and Traverso's conjectures for p-divisible groups

2009-12-02

arxiv.org/abs/0912.0506v1

Mathematics

Algebraic Geometry

48 pages

Scientific paper

The isomorphism number (resp. isogeny cutoff) of a p-divisible group D over an algebraically closed field is the least positive integer m such that D[p^m] determines D up to isomorphism (resp. up to isogeny). We show that these invariants are lower semicontinuous in families of p-divisible groups of constant Newton polygon. Thus they allow refinements of Newton polygon strata. In each isogeny class of p-divisible groups, we determine the maximal value of isogeny cutoffs and give an upper bound for isomorphism numbers, which is shown to be optimal in the isoclinic case. In particular, the latter disproves a conjecture of Traverso. As an application, we answer a question of Zink on the liftability of an endomorphism of D[p^m] to D.

Affiliated with

Also associated with

No associations

Rating

Stratifications of Newton polygon strata and Traverso's conjectures for p-divisible groups 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 Stratifications of Newton polygon strata and Traverso's conjectures for p-divisible groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stratifications of Newton polygon strata and Traverso's conjectures for p-divisible groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-516226