130 citations · 371 across the 21 of their papers we have counts for
8 papers · 1 filter
Topological cyclic homology
Lars Hesselholt, Thomas Nikolaus
This survey of topological cyclic homology is a chapter in the Handbook on Homotopy Theory. We give a brief introduction to topological cyclic homology and the cyclotomic trace map…
Algebraic -theory of planar cuspidal curves
Lars Hesselholt, Thomas Nikolaus
In this paper, we evaluate the algebraic -groups of a planar cuspidal curve over a perfect -algebra relative to the cusp point. A conditional calculation of these…
On the K-theory of division algebras over local fields
Lars Hesselholt, Michael Larsen, Ayelet Lindenstrauss
Let be a complete discrete valuation field with finite residue field of characteristic , and let be a central division algebra over of finite index . Thirty years…
Topological Hochschild homology and the Bass trace conjecture
A. J. Berrick, Lars Hesselholt
We use the methods of topological Hochschild homology to shed new light on the groups satisfying the Bass trace conjecture. We show that the factorization of the Hattori-Stallings…
On the K-theory of planar cuspical curves and a new family of polytopes
Lars Hesselholt
Let k be a regular F_p-algebra, let A = k[x,y]/(x^b - y^a) be the coordinate ring of a planar cuspical curve, and let I = (x,y) be the ideal that defines the cusp point. We give a…
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…