Compatibility of special value conjectures with the functional equation of zeta functions

  • Matthias Flach

    Dept. of Mathematics, Caltech, Pasadena CA 91125, USA
  • Baptiste Morin

    CNRS, IMB, Université de Bordeaux, 351, Cours de la Libération, F 33405 Talence Cedex, France
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Abstract

We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme that we formulated in [M. Flach and B. Morin, Doc. Math. 23, 1425–1560 (2018; Zbl 1404.14024)] is compatible with the functional equation of provided that the rational factor we were not able to compute previously has the simple explicit form given in the introduction below.

Cite this article

Matthias Flach, Baptiste Morin, Compatibility of special value conjectures with the functional equation of zeta functions. Doc. Math. 26 (2021), pp. 1633–1677

DOI 10.4171/DM/852