Computing isomorphism numbers of F-crystals by using level torsions

Details Computing isomorphism numbers of F-crystals by using level torsions Computing isomorphism numbers of F-crystals by using level torsions

2011-11-10

arxiv.org/abs/1111.2483v1

Mathematics

Number Theory

Scientific paper

The isomorphism number of an $F$-crystal $(M, \phi)$ over an algebraically closed field of positive characteristic is the smallest non-negative integer $n_M$ such that the $n_M$-th level truncation of $(M, \phi)$ determines the isomorphism class of $(M, \phi)$. When $(M, \phi)$ is isoclinic, namely it has a unique Newton slopes $\lambda$, we provide an efficiently computable upper bound of $n_M$ in terms of the Hodge slopes of $(M, \phi)$ and $\lambda$. This is achieved by providing an upper bound of the level torsion of $(M, \phi)$ introduced by Vasiu. We also check that this upper bound is optimal for many families of isoclinic $F$-crystals that are of special interests (such as isoclinic $F$-crystals of K3 type).

Affiliated with

Also associated with

No associations

Rating

Computing isomorphism numbers of F-crystals by using level torsions 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 Computing isomorphism numbers of F-crystals by using level torsions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing isomorphism numbers of F-crystals by using level torsions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727887