syntomic cohomology
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2016 ◽  
Vol 10 (8) ◽  
pp. 1695-1790 ◽  
Author(s):  
Jan Nekovář ◽  
Wiesława Nizioł
Keyword(s):  

2014 ◽  
Vol 14 (4) ◽  
pp. 753-799 ◽  
Author(s):  
F. Déglise ◽  
N. Mazzari

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.


2012 ◽  
Vol 22 (3) ◽  
pp. 481-547 ◽  
Author(s):  
Masanori Asakura ◽  
Kanetomo Sato

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

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