CUBIC EQUATIONS FOR THE HYPERELLIPTIC LOCUS
نویسندگان
چکیده
منابع مشابه
Modular equations for hyperelliptic curves
We define modular equations describing the `-torsion subgroups of the Jacobian of a hyperelliptic curve. Over a finite base field, we prove factorization properties that extend the well-known results used in Atkin’s improvement of Schoof’s genus 1 point counting algorithm.
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* Correspondence: abasalt. [email protected] Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran Full list of author information is available at the end of the article Abstract In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic m...
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An exceptional point in moduli space is a unique surface class whose full group of conformal automorphisms acts with a triangular signature. In this paper we determine, up to topological conjugacy, the full group of conformal and anticonformal automorphisms of a symmetric exceptional point in the elliptic-hyperelliptic locus in moduli space. We determine the number of ovals of any symmetry of s...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2004
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2004.v8.n1.a12