3 papers
math.AC2026
Rank varieties over the generic hypersurface I
David A. Jorgensen
To every local complete intersection ring one may associate a so-called generic hypersurface. In this paper we introduce rank varieties for modules and complexes over the generic h…
math.KT2026
Asymptotic vanishing of cohomology in triangulated categories
Petter Andreas Bergh, David A. Jorgensen, Peder Thompson
Given a graded-commutative ring acting centrally on a triangulated category, our main result shows that if cohomology of a pair of objects of the triangulated category is finitely…
math.KT2025
Multiplicity in triangulated categories
Petter Andreas Bergh, David A. Jorgensen, Peder Thompson
We lay out the theory of a multiplicity in the setting of a triangulated category having a central ring action from a graded-commutative ring , in other words, an -linear tri…