The sign of the functional equation of the \(L\)-function of an orthogonal motive

DOI10.1007/BF01241124zbMath0821.14011MaRDI QIDQ1842724

Takeshi Saito

Publication date: 3 October 1995

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144271

zbMATH Keywords

characteristic \(p\)Stiefel-Whitney classmotiveorthogonal representations\(\varepsilon\)-factorfunctional equation of \(L\)- functionHasse-Witt class

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Zeta functions and (L)-functions (11S40) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (3)

Lifting according to an isogeny of \(\ell\)-adic Galois representations associated to motives ⋮ The classifying topos of a group scheme and invariants of symmetric bundles ⋮ Hodge theory of Kloosterman connections

Cites Work

• Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
• Relations between \(K_2\) and Galois cohomology
• Conducteurs d'Artin des caracteres reels. (Artin conductors of real characters)
• On the functional equation of the Artin L-function for characters of real representations
• Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
• Construction de représentations $p$-adiques
• Iwasawa theory for the symmetric square of an elliptic curve.

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