Analogue of the degree conjecture over function fields

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)3483-3503
Number of pages21
JournalTransactions of the American Mathematical Society
Volume359
Issue number7
DOIs
StatePublished - Jul 1 2007

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Modular Curves
Function Fields
Parametrization
Elliptic Curves
Upper bound
Analogue

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Analogue of the degree conjecture over function fields. / Papikian, Mihran.

In: Transactions of the American Mathematical Society, Vol. 359, No. 7, 01.07.2007, p. 3483-3503.

Research output: Contribution to journalArticle

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