Transversal crystals of finite level

DOI10.5802/aif.1560zbMath0883.14006OpenAlexW2324368296MaRDI QIDQ671244

Adolfo Quirós, Bernard Le Stum

Publication date: 27 February 1997

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_1_69_0

zbMATH Keywords

isogenycrystalsspanFrobenius structureGriffiths transversalityfiltered differential operator

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

On logarithmic nonabelian Hodge theory of higher level in characteristic \(p\) ⋮ Frobenius-Ehresmann structures and Cartan geometries in positive characteristic ⋮ Comparing the sheaves of overconvergent isocrystals ⋮ The Filtered Poincaré Lemma in Higher Level (With Applications to Algebraic Groups) ⋮ The exact Poincaré lemma in crystalline cohomology of higher level ⋮ Finiteness of crystalline cohomology of higher level ⋮ Explicit Frobenius descent for \({\mathcal D}^\dagger\)-modules ⋮ ${\cal D}$-modules arithmétiques. II: Descente par Frobenius

Cites Work

• On the divisibility properties of families of filtered F-crystals
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Notes on Crystalline Cohomology. (MN-21)
• ${\cal D}$-modules arithmétiques. II: Descente par Frobenius
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
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