JOURNAL ARTICLE

On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters.

  • Published In: International Journal of Number Theory, 2023, v. 19, n. 7. P. 1589 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Tsushima, Takahiro 3 of 3

Abstract

By regarding the Fermat variety over a local field as a rigid analytic variety, we construct a family of affinoids in quotients of the Fermat varieties and compute the reduction of them. As a result, we explicitly compute the middle cohomology of the Fermat variety as a Galois representation. As a byproduct, we give an explicit formula for the ramified components of Jacobi sum Hecke characters in many variables. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Number Theory. 2023/08, Vol. 19, Issue 7, p1589
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2023
  • ISSN:1793-0421
  • DOI:10.1142/S1793042123500781
  • Accession Number:167306693
  • Copyright Statement:Copyright of International Journal of Number Theory is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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