Number of points of Deligne-Lusztig surfaces

DOI10.1006/jabr.1999.8246zbMath0997.11046OpenAlexW2027013228MaRDI QIDQ1569822

François Rodier

Publication date: 11 May 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8246

zbMATH Keywords

zeta functionBetti numbersDeligne-Lusztig varietyWeil-Deligne bound

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Varieties over finite and local fields (11G25)

Related Items

Varieties over finite fields: quantitative theory ⋮ On Frobenius incidence varieties of linear subspaces over finite fields ⋮ Codes from flag varieties over a finite field ⋮ Error-correcting codes from higher-dimensional varieties

Cites Work

• Algebraic function fields and codes
• Representations of finite Chevalley groups. A survey
• Representations of reductive groups over finite fields
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Coxeter orbits and eigenspaces of Frobenius
• Canonical bundles of Deligne-Lusztig varieties
• La conjecture de Weil. I
• Fonctions $L$ des variétés de Deligne-Lusztig et descente de Shintani
• On the Green Polynomials of Classical Groups
• Hermitian Varieties in a Finite Projective Space PG(N, q²)
• Numbers of solutions of equations in finite fields
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