Analogue of the degree conjecture over function fields

Papikian, Mihran

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

Analogue of the degree conjecture over function fields
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Trans. Amer. Math. Soc. 359 (2007), 3483-3503 Request permission

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.

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