The rigid syntomic ring spectrum
Langue
en
Article de revue
Ce document a été publié dans
Journal of the Institute of Mathematics of Jussieu. 2015-10-01, vol. 14, n° 4, p. p. 1-47
Cambridge University Press (CUP)
Résumé en anglais
The aim of this paper is to show that Besser syntomic cohomology is representable by a rational ring spectrum in the motivic homotopical sense. In fact, extending previous constructions, we exhibit a simple representability ...Lire la suite >
The aim of this paper is to show that Besser syntomic cohomology 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 syntomic cohomology such as h-descent and the compatibility of cycle classes with Gysin morphisms. Along the way, we prove that motivic ring spectra induces a complete Bloch-Ogus cohomological formalism and even more. Finally, following a general motivic homotopical philosophy, we exhibit a natural notion of syntomic coefficients.< Réduire
Mots clés en anglais
Rigid syntomic cohomology
Beilinson motives
Bloch-Ogus
Origine
Importé de halUnités de recherche