29 citations · 112 across the 24 of their papers we have counts for
29 papers
On Frobenius rigidity for motivic cohomology
Thomas H. Geisser
We study how motivic and étale motivic cohomology of a smooth and proper variety changes under extensions of algebraically closed base fields . With finite coefficients, motivic…
Brauer and Neron-Severi groups of surfaces over finite fields
Thomas H. Geisser
We give a version of the Artin-Tate formula for surfaces over finite fields not assuming Tate's conjecture. It gives an equality between terms related to the Brauer group on the on…
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…
Pontryagin duality for varieties over -adic fields
Thomas H. Geisser, Baptiste Morin
We define cohomological complexes of locally compact abelian groups associated with varieties over -adic fields and prove a duality theorem under some assumption. Our duality ta…
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,…