Skip to main content
×
Home
    • Aa
    • Aa
  • Access
  • Cited by 6
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Lai, King Fai Longhi, Ignazio Tan, Ki-Seng and Trihan, Fabien 2016. The Iwasawa Main Conjecture for semistable abelian varieties over function fields. Mathematische Zeitschrift, Vol. 282, Issue. 1-2, p. 485.


    Bhatt, Bhargav 2014. On the non-existence of small Cohen–Macaulay algebras. Journal of Algebra, Vol. 411, p. 1.


    Trihan, Fabien and Yasuda, Seidai 2014. The -parity conjecture for abelian varieties over function fields of characteristic 0$" height="12pt">. Compositio Mathematica, Vol. 150, Issue. 04, p. 507.


    Johansson, Christian 2013. Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C. Mathematische Annalen, Vol. 357, Issue. 1, p. 51.


    Kedlaya, Kiran S. 2011. Swan conductors for p-adic differential modules. II Global variation. Journal of the Institute of Mathematics of Jussieu, Vol. 10, Issue. 01, p. 191.


    Pridham, Jonathan P 2011. Galois actions on homotopy groups of algebraic varieties. Geometry & Topology, Vol. 15, Issue. 1, p. 501.


    ×

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

  • Kiran S. Kedlaya (a1)
  • DOI: http://dx.doi.org/10.1112/S0010437X06002338
  • Published online: 24 November 2006
Abstract

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 $\mathcal{D}$-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.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Fourier transforms and $p$-adic ‘Weil II’
      Your Kindle email address
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Fourier transforms and $p$-adic ‘Weil II’
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Fourier transforms and $p$-adic ‘Weil II’
      Available formats
      ×
Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords: