Compatibility of Special value conjectures with the functional equation of Zeta functions

preprint2020arXivOpen access

Abstract

We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the functional equation of the Zeta function provided that the factor C(X,n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].

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