An equivariant Lefschetz formula for finite reductive groups

DOI10.1007/BF01428945zbMath0425.14012OpenAlexW2074099452MaRDI QIDQ1135328

Geir Ellingsrud, Knud Lønsted

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163440

zbMATH Keywords

differentialssmooth curvesLefschetz formulaChevalley-Weil formulagroup representation ringsingularities of the coarse moduli space

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Group actions on varieties or schemes (quotients) (14L30) Riemann-Roch theorems (14C40) Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Finite transformation groups (57S17) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Galois module structure of cohomology groups for tamely ramified coverings of algebraic varieties ⋮ Decomposing representations of finite groups on Riemann-Roch spaces ⋮ The equivariant Hilbert series of the canonical ring of Fermat curves ⋮ Galois structure of de Rham cohomology ⋮ Residues of connections and the Chevalley-Weil formula for curves ⋮ On group actions on Riemann-Roch spaces of curves ⋮ 𝑝-group Galois covers of curves in characteristic 𝑝 ⋮ The geometric genus of a desingularized fiber product of elliptic surfaces ⋮ Cohomology of \(G\)-sheaves in positive characteristic ⋮ On spaces associated with invariant divisors on Galois covers of Riemann surfaces and their applications ⋮ Equivariant K-theory for curves ⋮ Computational aspects of equivariant Hilbert series of canonical rings for algebraic curves

Cites Work

• Über Matrizenringe auf Riemannschen Flächen und den Riemann-Rochschen Satz
• Groupes de Grothendieck des schemas en groupes reductifs deployes
• Equivariant K-theory
• Diagonalizably linearized coherent sheaves
• Unnamed Item

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