The number of rational points on Drinfeld modular varieties over finite fields

Research output: Contribution to journalArticle

Abstract

Drinfeld and Vladut proved that Drinfeld modular curves have many F q2-rational points compared to their genera. We propose a conjectural generalization of this result to higher dimensional Drinfeld modular varieties, and prove a theorem giving evidence for the conjecture.

Original languageEnglish (US)
Article number94356
JournalInternational Mathematics Research Notices
Volume2006
DOIs
StatePublished - Dec 1 2006

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Modular Curves
Rational Points
Galois field
Genus
High-dimensional
Theorem
Evidence
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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title = "The number of rational points on Drinfeld modular varieties over finite fields",
abstract = "Drinfeld and Vladut proved that Drinfeld modular curves have many F q2-rational points compared to their genera. We propose a conjectural generalization of this result to higher dimensional Drinfeld modular varieties, and prove a theorem giving evidence for the conjecture.",
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The number of rational points on Drinfeld modular varieties over finite fields. / Papikian, Mihran.

In: International Mathematics Research Notices, Vol. 2006, 94356, 01.12.2006.

Research output: Contribution to journalArticle

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