Xiao Xiao

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20112018

F

-crystals

3 citations · 4 across the 5 of their papers we have counts for

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math.NT2018

Dimensions of automorphism group schemes of finite level truncations of $F$ -cyclic $F$ -crystals

Zeyu Ding, Xiao Xiao

Let $M_{π}$ be an $F$ -cyclic $F$ -crystal $M_{π}$ over an algebraically closed field defined by a permutation $π$ and a set of prescribed Hodge slopes. We prove comb…

math.NT2015

Minimal $F$ -crystals and isomorphism numbers of isosimple $F$ -crystals

Xiao Xiao

In this paper we generalize minimal $p$ -divisible groups defined by Oort to $F$ -crystal over an algebraically closed field of positive characteristic. We prove a structural theorem…

math.NT2013★ 3 cited

Subtle Invariants of $F$ -crystals

Xiao Xiao

Vasiu proved that the level torsion $ℓ_{M}$ of an $F$ -crystal $M$ over an algebraically closed field of characteristic $p > 0$ is a non-negative integer that i…

math.NT2011★ 1 cited

Computing isomorphism numbers of F-crystals by using level torsions

Xiao Xiao

The isomorphism number of an $F$ -crystal $(M, ϕ)$ over an algebraically closed field of positive characteristic is the smallest non-negative integer $n_{M}$ such that the $n_{M}$ -th le…

Dimensions of automorphism group schemes of finite level truncations of F-cyclic F-crystals

Minimal F-crystals and isomorphism numbers of isosimple F-crystals

Subtle Invariants of F-crystals

Computing isomorphism numbers of F-crystals by using level torsions

Dimensions of automorphism group schemes of finite level truncations of $F$ -cyclic $F$ -crystals

Minimal $F$ -crystals and isomorphism numbers of isosimple $F$ -crystals

Subtle Invariants of $F$ -crystals