50 citations · 146 across the 21 of their papers we have counts for
4 papers · 1 filter
Arakelov motivic cohomology I
Andreas Holmstrom, Jakob Scholbach
This paper introduces a new cohomology theory for schemes of finite type over an arithmetic ring. The main motivation for this Arakelov-theoretic version of motivic cohomology is t…
Mixed Artin-Tate motives over number rings
Jakob Scholbach
This paper studies Artin-Tate motives over number rings. As a subcategory of geometric motives, the triangulated category of Artin-Tate motives DATM(S) is generated by motives of s…
f-cohomology and motives over number rings
Jakob Scholbach
This paper is concerned with an interpretation of f-cohomology, a modification of motivic cohomology of motives over number fields, in terms of motives over number rings. Under sta…
Special L-values of geometric motives
Jakob Scholbach
This paper proposes a conjecture on special values of L-functions of geometric motives over Z. This includes L-functions of mixed motives over Q and Hasse-Weil zeta-functions of sc…