Skip to main content
Article thumbnail
Location of Repository

Galois structure of Zariski cohomology for weakly ramified covers of curves

By Bernhard Koeck


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 computation of the Galois module structure of the space of global meromorphic differentials which are logarithmic along the ramification locus from the tamely ramified to the weakly ramified case

Topics: QA
Year: 2004
OAI identifier:
Provided by: e-Prints Soton

Suggested articles


  1. (1986). Action of an automorphism of order p on cohomology groups of an algebraic curve,
  2. (1977). Algebraic Geometry, Grad. Texts
  3. (1992). Algebraische Zahlentheorie,
  4. (1980). An equivariant Lefschetz formula for finite reductive groups,
  5. (1969). bases in Galois extensions of number fields,
  6. (2001). Computing the equivariant Euler characteristic of Zariski and ´ etale sheaves on curves, preprint,
  7. (1962). Corps locaux, Publications de l’Institut de
  8. (2002). du groupe de Grothendieck ´ equivariant d’une courbe et modules galoisiens,
  9. (2000). Euler-Poincar´ e formula in equal characteristic under ordinariness assumptions,
  10. (1969). Galois cohomology of ambiguous ideals,
  11. (1994). Galois structure of de Rham cohomology of tame covers of schemes,
  12. (1996). Geometric trends in Galois module theory, GaloisRepresentationsinArithmeticAlgebraic Geometry
  13. (1960). Induced representations and projective modules,
  14. (1970). Integral normal bases in Galois extensions of local fields,
  15. (1979). Lefschetz-Riemann-Roch for singular varieties,
  16. (1981). Methods of representation theory, with applications to finite groups and orders, vol.
  17. (1986). module structure of cohomology groups for tamely ramified coverings of algebraic varieties,
  18. (1931). Normalbasis bei K¨ orpern ohne h¨ ohere Verzweigung,
  19. (1991). ock, The Lefschetz theorem in higher equivariant
  20. (1984). On Galois module structure of the cohomology groups of an algebraic variety,
  21. (1962). Representation Theory of Finite Groups and Associative Algebras,
  22. (1977). Representations of Finite Groups,
  23. (2001). Structure galoisienne dans les extensions faiblement ramifiees de Q,
  24. (1991). The Galois structure of the square root of the inverse different,
  25. (1986). The Galois-module structure of the space of holomorphic differentials of a curve,
  26. (1934). Theorie der relativ-zyklischen algebraischen Funktionenk¨ orper, insbesondere bei endlichem Konstantenk¨ orper,
  27. (2000). Une formule de Riemann-Roch ´ equivariante pour les courbes, Th` ese, Universit´ e Bordeaux I,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.