Product formula forp-adic epsilon factors

DOI10.1017/S1474748014000024zbMath1319.14025arXiv1104.1563MaRDI QIDQ4983489

Tomoyuki Abe, Adriano Marmora

Publication date: 27 March 2015

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1563

zbMATH Keywords

rigid cohomology\(p\)-adic differential equationsepsilon factors\(p\)-adic Fourier transformarithmetic \(D\)-modules\(p\)-adic microlocalization

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Zeta functions and (L)-functions (11S40) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items (13)

Notes on isocrystals ⋮ Langlands correspondence for isocrystals and the existence of crystalline companions for curves ⋮ Explicit calculation of Frobenius isomorphisms and Poincaré duality in the theory of arithmetic \(\mathcal D\)-modules ⋮ Formal stationary phase for the Mellin transform of a \(\mathcal{D}\)-module ⋮ Langlands program for \(p\)-adic coefficients and the petits camarades conjecture ⋮ AROUND THE NEARBY CYCLE FUNCTOR FOR ARITHMETIC -MODULES ⋮ THE LOEWY STRUCTURE OF -VERMA MODULES OF SINGULAR HIGHEST WEIGHTS ⋮ Comparison theorem between Fourier transform and Fourier transform with compact support ⋮ Galois-module theory for wildly ramified covers of curves over finite fields (with an appendix by Bernhard Köck and Adriano Marmora) ⋮ On Beilinson's equivalence for \(p\)-adic cohomology ⋮ A microlocal approach to the enhanced Fourier-Sato transform in dimension one ⋮ BETTI NUMBER ESTIMATES IN -ADIC COHOMOLOGY ⋮ Bessel \(F\)-isocrystals for reductive groups

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