COMPATIBILITY OF SPECIAL VALUE CONJECTURES WITH THE FUNCTIONAL EQUATION OF ZETA FUNCTIONS
MORIN, Baptiste
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
MORIN, Baptiste
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
< Réduire
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
Langue
en
Article de revue
Ce document a été publié dans
Documenta Mathematica. 2021, vol. Doc. Math. 26, n° 26, p. 1633-1677
Universität Bielefeld
Résumé en anglais
We prove that the special value conjecture for the Zeta function ζ(X , s) of a proper, regular arithmetic scheme X that we formulated in [8][Conj. 5.12] is compatible with the functional equation of ζ(X , s) provided that ...Lire la suite >
We prove that the special value conjecture for the Zeta function ζ(X , s) of a proper, regular arithmetic scheme X that we formulated in [8][Conj. 5.12] is compatible with the functional equation of ζ(X , s) provided that the factor C(X , n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].< Réduire
Origine
Importé de halUnités de recherche