activity
19972021
most citedExterior power operations on higher -groups via binary complexes

9 citations · 15 across the 6 of their papers we have counts for

collaborators

8 papers

math.KT2021

Comparison of Exterior Power Operations on Higher K-Theory of Schemes

Bernhard Köck, Ferdinando Zanchetta

Exterior power operations provide an additional structure on K-groups of schemes which lies at the heart of Grothendieck's Riemann-Roch theory. Over the past decades, various autho…

math.AG2021

The canonical representation of the Drinfeld curve

Lucas Laurent, Bernhard Köck

If is a smooth projective curve over an algebraically closed field and is a subgroup of automorphisms of , then acts linearly on the -vector…

math.KT2018★ 1 cited

-groups via binary complexes of fixed length

Daniel Kasprowski, Bernhard Köck, Christoph Winges

We modify Grayson's model of of an exact category to give a presentation whose generators are binary acyclic complexes of length at most for any given . As a cor…

math.AG2017

On the de-Rham cohomology of hyperelliptic curves

Bernhard Köck, Joseph Tait

For any hyperelliptic curve X, we give an explicit basis of the first de-Rham cohomology of X in terms of Čech cohomology. We use this to produce a family of curves in characterist…

math.KT2016★ 9 cited

Exterior power operations on higher -groups via binary complexes

Tom Harris, Bernhard Köck, Lenny Taelman

We use Grayson's binary multicomplex presentation of algebraic -theory to give a new construction of exterior power operations on the higher -groups of a (quasi-compact) sche…

math.NT2014

Galois-module theory for wildly ramified covers of curves over finite fields

Helena Fischbacher-Weitz, Bernhard Köck, Adriano Marmora

Given a Galois cover of curves over , we relate the -adic valuation of epsilon constants appearing in functional equations of Artin L-functions to an equivariant E…