29 citations · 112 across the 24 of their papers we have counts for
6 papers · 1 filter
Homological Descent for Motivic Homology Theories
Thomas Geisser
We show that motivic homology, motivic Borel-Moore homology and higher Chow groups satisfy homological descent for hyperenvelopes, and l-hyperenvelopes after inverting l.
Finite generation conjectures for cohomology over finite fields
Thomas H Geisser
We construct an intermediate cohmology between motivic cohomology and Weil-etale cohomology. Using this, the Bass conjecture on finite generation of motivic cohomology, and the Bei…
On a conjecture of Vorst
Thomas Geisser, Lars Hesselholt
We prove the following result. Let k be an infinite perfect field of positive characteristic and assume that strong resolution of singularities holds over k. Let R be a localizatio…
On the relative and bi-relative K-theory of rings of finite characteristic
Thomas Geisser, Lars Hesselholt
We prove that the relative K-groups associated with a nilpotent extension of Z/p^N Z-algebras and the bi-relative K-groups associated with a Milnor square of Z/p^N Z-algebras are p…
Arithmetic homology and an integral version of Katos conjecture
Thomas Geisser
We define an integral Borel-Moore homology theory over finite fields, called arithmetic homology, and an integral version of Kato homology. Both types of groups are expected to be…
Parshin's conjecture revisited
Thomas Geisser
We show that Pashin's conjecture on the vanishing of rational higher K-groups of smooth, projective varieties over finite fields can be thought of as a combination of three weaker…