29 citations · 112 across the 24 of their papers we have counts for
12 papers · 1 filter
On Integral Class field theory for varieties over -adic fields
Thomas H. Geisser, Baptiste Morin
Let be a finite extension of the -adic numbers with ring of integers , a regular scheme, proper, flat, and geometrically irreducible…
Special values of L-functions of one-motives over function fields
Thomas H. Geisser, Takashi Suzuki
The purpose of this paper is to give a formula for the leading coefficient at of the -function of one-motives over function fields in terms of Weil-étale cohomology, gener…
A Weil-etale version of the Birch and Swinnerton-Dyer formula over function fields
Thomas H. Geisser, Takashi Suzuki
We give a reformulation of the Birch and Swinnerton-Dyer conjecture over global function fields in terms of Weil-etale cohomology of the curve with coefficients in the Neron model,…
Tate's conjecture and the Tate-Shafarevich group over global function fields
Thomas H. Geisser
Let be a regular variety, flat and proper over a complete regular curve over a finite field, such that the generic fiber is smooth and geometrically connected. We…
Duality for integral motivic cohomology
Thomas H. Geisser
We discuss duality pairings on integral étale motivic cohomology groups of regular and proper schemes over algebraically closed fields, local fields, finite fields, and arithmetic…
Poitou-Tate duality for arithmetic schemes
Thomas H. Geisser, Alexander Schmidt
We give a generalization of Poitou-Tate duality to schemes of finite type over rings of integers of global fields.