Geodesic
Torsion in the crystalline cohomology of singular varieties
Documenta mathematica, Tome 19 (2014), pp. 673-687
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This paper discusses some examples showing that the crystalline cohomology of even very mildly singular projective varieties tends to be quite large. In particular, any singular projective variety with at worst ordinary double points has infinitely generated crystalline cohomology in at least two cohomological degrees. These calculations rely critically on comparisons between crystalline and derived de Rham cohomology.
DOI : 10.4171/dm/460
Classification : 14F30, 14F40
Mots-clés : crystalline cohomology, derived de Rham cohomology, cartier isomorphism, Frobenius lifts 
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     author = {Bhargav Bhatt},
     title = {Torsion in the crystalline cohomology of singular varieties},
     journal = {Documenta mathematica},
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     year = {2014},
     volume = {19},
     doi = {10.4171/dm/460},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/460/}
}
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Bhargav Bhatt. Torsion in the crystalline cohomology of singular varieties. Documenta mathematica, Tome 19 (2014), pp. 673-687. doi: 10.4171/dm/460

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