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Crystalline cohomology and de Rham cohomology

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arxiv 1110.5001 v1 pith:MORSVDVJ submitted 2011-10-22 math.AG math.NT

Bhargav Bhatt , Aise Johan de Jong This is my paper · ORCID
classification math.AGmath.NT
keywords cohomologycomparisoncrystallinerhamberthelotdifferentgivegoal
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The goal of this short paper is to give a slightly different perspective on the comparison between crystalline cohomology and de Rham cohomology. Most notably, we reprove Berthelot's comparison result without using pd-stratifications, linearisations, and pd-differential operators.

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Cited by 2 Pith papers

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    Solutions of algebraic differential equations are conjectured to be algebraic exactly when their Taylor coefficients have almost no primes in their denominators, and the conjecture is proved for Picard-Fuchs equations...

  2. The convergent stack

    math.AG 2026-06 unverdicted novelty 6.0 of 10

    Defines the convergent stack X_conv whose finitely generated quasi-coherent modules over O[1/p] are equivalent to convergent isocrystals for schemes of finite type over perfect fields, with explicit descriptions in ot...

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