Modular varieties of D-elliptic sheaves and the Weil-Deligne bound

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Abstract

We compare the asymptotic grows of the number of rational points on modular varieties of D-elliptic sheaves over finite fields to the grows of their Betti numbers as the degree of the level tends to infinity. This is a generalization to higher dimensions of a well-known result for modular curves. As a consequence of the main result, we produce a new asymptotically optimal sequence of curves.

Original languageEnglish (US)
Pages (from-to)115-134
Number of pages20
JournalJournal fur die Reine und Angewandte Mathematik
Issue number626
DOIs
StatePublished - Jan 1 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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