A Lefschetz Duality Theorem in P-adic Cohomology

Yoo, Jinsung; Lubkin, Saul

doi:10.2307/2374870

American Journal of Mathematics

1990

DOI: 10.2307/2374870

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A Lefschetz Duality Theorem in P-adic Cohomology

Jinsung Yoo¹,

Saul Lubkin²

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2006

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Fourier transforms and $p$-adic ‘Weil II’

Kedlaya¹

2006

Compositio Math.

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We give a purity theorem in the manner of Deligne's 'Weil II' theorem for rigid cohomology with coefficients in an overconvergent F -isocrystal; the proof mostly follows Laumon's Fourier-theoretic approach, transposed into the setting of arithmetic D-modules. This yields in particular a complete, purely p-adic proof of the Weil conjectures when combined with recent results on p-adic differential equations by André, Christol, Crew, Kedlaya, Matsuda, Mebkhout and Tsuzuki.

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Fourier transforms and $p$-adic ‘Weil II’

Kedlaya¹

2006

Compositio Math.

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A Lefschetz Duality Theorem in P-adic Cohomology

Cited by 1 publication

References 1 publication

Fourier transforms and $p$-adic ‘Weil II’

Fourier transforms and $p$-adic ‘Weil II’

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