GEOMETRIC SYNTOMIC COHOMOLOGY AND VECTOR BUNDLES ON THE FARGUES-FONTAINE CURVE

Abstract : We show that geometric syntomic cohomology lifts canonically to the category of Banach-Colmez spaces and study its relation to extensions of modifications of vector bundles on the Fargues-Fontaine curve. We include some computations of geometric syntomic cohomology Spaces: they are finite rank Q p-vector spaces for ordinary varieties, but in the nonordinary case, these cohomology Spaces carry much more information, in particular they can have a non-trivial Crank. This dichotomy is reminiscent of the Hodge-Tate period map for p-divisible groups.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [19 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01420353
Contributor : Wieslawa Niziol <>
Submitted on : Tuesday, December 20, 2016 - 2:43:29 PM
Last modification on : Thursday, December 22, 2016 - 10:28:41 AM
Long-term archiving on : Monday, March 20, 2017 - 8:18:47 PM

File

HT5.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : ensl-01420353, version 1

Collections

Citation

Wieslawa Niziol. GEOMETRIC SYNTOMIC COHOMOLOGY AND VECTOR BUNDLES ON THE FARGUES-FONTAINE CURVE. 2016. ⟨ensl-01420353⟩

Share

Metrics

Record views

125

Files downloads

80