Equivariant Riemann-Roch theorems for curves over perfect fields

DOI10.1007/s00229-008-0218-3zbMath1163.14019arXivmath/0701257OpenAlexW2034620865MaRDI QIDQ1003147

Helena Fischbacher-Weitz, Bernhard Köck

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701257

zbMATH Keywords

Riemann-Roch theoremsperfect fieldsequivariant divisors

Mathematics Subject Classification ID

Galois theory (11R32) Coverings of curves, fundamental group (14H30) Other nonalgebraically closed ground fields in algebraic geometry (14G27)

Cites Work

• Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties
• Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
• The Galois-module structure of the space of holomorphic differentials of a curve.
• Une formule de Riemann-Roch équivariante pour les courbes
• Galois structure of Zariski cohomology for weakly ramified covers of curves
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