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Covers of elliptic curves with unique, totally ramified branch points
Author(s) -
RubinsteinSalzedo Simon
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200285
Subject(s) - mathematics , monodromy , elliptic curve , supersingular elliptic curve , algebraic surface , algebraic curve , division polynomials , schoof's algorithm , algebraic geometry , algebra over a field , algebraic number , pure mathematics , mathematical analysis , quarter period
A well‐known and difficult problem in computational number theory and algebraic geometry is to write down equations for branched covers of algebraic curves with specified monodromy type. In this article, we present a technique for computing such covers in the case of covers of elliptic curves with unique, totally ramified branch points.