5 papers
Refined and l-adic Euler characteristics of nearly perfect complexes
David Burns, Bernhard Köck, Victor Snaith
We lift the Euler characteristic of a nearly perfect complex to a relative algebraic K-group by passing to its l-adic Euler characteristics.
Galois structure of Zariski cohomology for weakly ramified covers of curves
Bernhard Köck
We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computatio…
Computing the equivariant Euler characteristic of Zariski and etale sheaves on curves
Bernhard Köck
We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an étale analogue of well-known formulas for Zariski sheaves generalizing the classical…
Computing the homology of Koszul complexes
Bernhard Köck
Let R be a commutative ring and I an ideal in R which is locally generated by a regular sequence of length d. Then, each projective R/I-module V has an R-projective resolution P. o…
Riemann-Roch for tensor powers
Bernhard Köck
Mapping a locally free module to its l-th tensor power gives rise to a natural map from the Grothendieck group of all locally free modules to the Grothendieck group of all locally…