Hodge theory of Kloosterman connections

DOI10.1215/00127094-2021-0036zbMath1498.14019arXiv1810.06454OpenAlexW2897398145MaRDI QIDQ2671476

Jeng-Daw Yu, Javier Fresán, Claude Sabbah

Publication date: 3 June 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06454

zbMATH Keywords

Fourier transform\(L\)-functionsD-modulesKloosterman sumsGalois representationsmixed Hodge modulesconnections with irregular singularitiespotential automorphyirregular Hodge filtration\( \mathcal{L} \)-adic sheavesexponential motives

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Related Items

\({\mathbb{Q}}\)-linear dependence of certain Bessel moments ⋮ Macaulay matrix for Feynman integrals: linear relations and intersection numbers ⋮ Hodge properties of Airy moments ⋮ Hodge numbers of motives attached to Kloosterman and Airy moments ⋮ Quadratic relations between Bessel moments

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