Analogue of the degree conjecture over function fields

Mihran Papikian

doi:10.1090/S0002-9947-07-04147-5

Analogue of the degree conjecture over function fields

Mihran Papikian

Mathematics

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

4 Scopus citations

Abstract

Under a certain assumption, similar to Manin's conjecture, we prove an upper bound on the degree of modular parametrizations of elliptic curves by Drinfeld modular curves, which is the function field analogue of the conjectured bound over the rational numbers.

Original language	English (US)
Pages (from-to)	3483-3503
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	359
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9947-07-04147-5
State	Published - Jul 2007

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-07-04147-5

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Analogue of the degree conjecture over function fields

Abstract

All Science Journal Classification (ASJC) codes

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