Geodesic
Compatibility of special value conjectures with the functional equation of zeta functions
Documenta mathematica, Tome 26 (2021), pp. 1633-1677 Cet article a éte moissonné depuis la source EMS Press

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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 [M. Flach and B. Morin, Doc. Math. 23, 1425–1560 (2018; Zbl 1404.14024)] is compatible with the functional equation of ζ(X,s) provided that the rational factor C(X,n) we were not able to compute previously has the simple explicit form given in the introduction below.
DOI : 10.4171/dm/852
Classification : 11G40, 14F25, 14F40
Mots-clés : functional equation, Weil-étale cohomology, arithmetic schemes, zeta-values 
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     author = {Baptiste Morin and Matthias Flach},
     title = {Compatibility of special value conjectures with the functional equation of zeta functions},
     journal = {Documenta mathematica},
     pages = {1633--1677},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/852},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/852/}
}
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Baptiste Morin; Matthias Flach. Compatibility of special value conjectures with the functional equation of zeta functions. Documenta mathematica, Tome 26 (2021), pp. 1633-1677. doi: 10.4171/dm/852

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