40 citations · 152 across the 19 of their papers we have counts for
6 papers · 1 filter
A remark on crystalline cohomology
Moritz Kerz, Georg Tamme
We propose a new approach to crystalline cohomology based on the observation that one can lift smooth algebras uniquely "up to coherent homotopy."
Weak completions, bornologies and rigid cohomology
Guillermo Cortiñas, Joachim Cuntz, Ralf Meyer +1
Let be a complete discrete valuation ring with residue field of positive characteristic and with fraction field of characteristic 0. We clarify the analysis behind the…
Nonarchimedean bornologies, cyclic homology and rigid cohomology
Guillermo Cortiñas, Joachim Cuntz, Ralf Meyer +1
Let be a complete discrete valuation ring with residue field and with fraction field of characteristic 0. We clarify the analysis behind the Monsky--Washnitzer completi…
Towards a non-archimedean analytic analog of the Bass-Quillen conjecture
Moritz Kerz, Shuji Saito, Georg Tamme
We suggest an analog of the Bass-Quillen conjecture for smooth affinoid algebras over a complete non-archimedean field. We prove this in the rank-1 case, i.e. for the Picard group.…
The Beilinson regulator is a map of ring spectra
Ulrich Bunke, Thomas Nikolaus, Georg Tamme
We prove that the Beilinson regulator, which is a map from -theory to absolute Hodge cohomology of a smooth variety, admits a refinement to a map of -ring spectra in t…
Karoubi's relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map
Georg Tamme
We construct a variant of Karoubi's relative Chern character for smooth, separated schemes over the ring of integers in a p-adic field and prove a comparison with the rigid syntomi…