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

Mihran Papikian

doi:10.1155/IMRN/2006/94356

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

Mihran Papikian

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English (US)
Article number	94356
Journal	International Mathematics Research Notices
Volume	2006
DOIs	https://doi.org/10.1155/IMRN/2006/94356
State	Published - 2006

All Science Journal Classification (ASJC) codes

General Mathematics

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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

Abstract

All Science Journal Classification (ASJC) codes

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