On syntomic regukators I: constructions.

Abstract : We show that classical Chern classes from higher (p-adic) K-theory to syntomic cohomology extend to logarithmic syntomic cohomology. These Chern classes are compatible – in a suitable sense – with addition, products, and λ-operations. They are also compatible with the canonical Gysin sequences and, via period maps, with logarithmicétalelogarithmicétale Chern classes. Moreover, they induce logarithmic crystalline Chern classes. This uses as a critical new ingredient the recent comparison of syntomic cohomology with p-adic nearby cycles [6] and p-adic motivic cohomology [7].
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [35 references]  Display  Hide  Download

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01420357
Contributor : Wieslawa Niziol <>
Submitted on : Tuesday, December 20, 2016 - 2:47:20 PM
Last modification on : Thursday, December 22, 2016 - 10:28:40 AM
Long-term archiving on : Tuesday, March 21, 2017 - 12:00:43 AM

File

Chernclasses3.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : ensl-01420357, version 1

Collections

Citation

Wieslawa Niziol. On syntomic regukators I: constructions.. 2016. ⟨ensl-01420357⟩

Share

Metrics

Record views

112

Files downloads

65