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math.AG2002
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…
math.AG2001
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…
math.AG1998
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…