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

DOI10.1002/mana.201500367zbMath1432.14017arXiv1509.01192OpenAlexW2963563185MaRDI QIDQ5275860

Xiao Xiao

Publication date: 14 July 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01192

zbMATH Keywords

\(p\)-divisible groupsisomorphism numberminimal \(F\)-crystals

Mathematics Subject Classification ID

Varieties over finite and local fields (11G25) (p)-adic cohomology, crystalline cohomology (14F30) Formal groups, (p)-divisible groups (14L05)

Related Items (1)

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

Cites Work

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• Stratifications of Newton polygon strata and Traverso's conjectures for \(p\)-divisible groups
• Computing isomorphism numbers of \(F\)-crystals using the level torsions
• Reconstructing \(p\)-divisible groups from their truncations of small level
• Short generating functions for some semigroup algebras
• On finiteness of endomorphism rings of Abel varieties
• Minimal \(p\)-divisible groups
• Truncations of level 1 of elements in the loop group of a reductive group.
• Subtle Invariants of $F$-crystals
• On formulas for the Frobenius number of a numerical semigroup.
• Crystalline boundedness principle
• Mod p classification of Shimura F ‐crystals

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