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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

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Sheaves
Modular Curves
Betti numbers
Rational Points
Asymptotically Optimal
Higher Dimensions
Galois field
Infinity
Tend
Curve
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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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.",
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Modular varieties of D-elliptic sheaves and the Weil-Deligne bound. / Papikian, Mihran.

In: Journal fur die Reine und Angewandte Mathematik, No. 626, 01.01.2009, p. 115-134.

Research output: Contribution to journalArticle

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