Rigid syntomic cohomology and p-adic polylogarithms

2000 ◽  
Vol 2000 (529) ◽  
Author(s):  
K. Bannai
Keyword(s):  
Syntomic Cohomology

scholarly journals Syntomic cohomology and $p$-adic étale cohomology

1992 ◽  
Vol 44 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Kazuya Kato ◽  
William Messing
Keyword(s):  
Etale Cohomology ◽  
Étale Cohomology ◽  
Syntomic Cohomology

scholarly journals Syntomic cohomology and Beilinson’s Tate conjecture for $K_2$

2012 ◽  
Vol 22 (3) ◽  
pp. 481-547 ◽  
Author(s):  
Masanori Asakura ◽  
Kanetomo Sato
Keyword(s):  
Tate Conjecture ◽  
Syntomic Cohomology

scholarly journals THE RIGID SYNTOMIC RING SPECTRUM

2014 ◽  
Vol 14 (4) ◽  
pp. 753-799 ◽  
Author(s):  
F. Déglise ◽  
N. Mazzari
Keyword(s):  
Ring Spectrum ◽  
Ring Spectra ◽  
Natural Notion ◽  
Central Result ◽  
Syntomic Cohomology ◽  
Cycle Classes ◽  
The Way

The aim of this paper is to show that rigid syntomic cohomology – defined by Besser – is representable by a rational ring spectrum in the motivic homotopical sense. In fact, extending previous constructions, we exhibit a simple representability criterion and we apply it to several cohomologies in order to get our central result. This theorem gives new results for rigid syntomic cohomology such as h-descent and the compatibility of cycle classes with Gysin morphisms. Along the way, we prove that motivic ring spectra induce a complete Bloch–Ogus cohomological formalism and even more. Finally, following a general motivic homotopical philosophy, we exhibit a natural notion of rigid syntomic coefficients.

scholarly journals The Exponential Homomorphism for the Second Syntomic Cohomology

2001 ◽  
Vol 240 (1) ◽  
pp. 103-119
Author(s):  
Takao Yamazaki
Keyword(s):  
Syntomic Cohomology

scholarly journals Syntomic cohomology and p-adic regulators for varieties over p-adic fields

2016 ◽  
Vol 10 (8) ◽  
pp. 1695-1790 ◽  
Author(s):  
Jan Nekovář ◽  
Wiesława Nizioł
Keyword(s):  
Syntomic Cohomology
Sign in / Sign up

Export Citation Format

Share Document