Analogue of the degree conjecture over function fields

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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 languageEnglish (US)
Pages (from-to)3483-3503
Number of pages21
JournalTransactions of the American Mathematical Society
Issue number7
StatePublished - Jul 2007

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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