On the \(\Gamma\)-factors attached to motives

DOI10.1007/BF01245075zbMath0739.14010OpenAlexW2093182772WikidataQ56813086 ScholiaQ56813086MaRDI QIDQ1176633

Christopher Deninger

Publication date: 25 June 1992

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

Full work available at URL: https://eudml.org/doc/143882

zbMATH Keywords

motivesregularized determinantsDeligne cohomologyarchimedean cohomology\(L\)-functions of the cohomology groups

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Varieties over global fields (11G35) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) (p)-adic cohomology, crystalline cohomology (14F30) Global ground fields in algebraic geometry (14G25)

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Cites Work

• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Higher regulators and values of \(L\)-functions
• Zeta function regularization of path integrals in curved spacetime
• Analytic torsion for complex manifolds

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