Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects
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DOI：
10.1016/j.jalgebra.2012.07.054
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发表时间：
2011-11
期刊：
影响因子：
--
通讯作者：
R. Lercier;C. Ritzenthaler
中科院分区：
文献类型：
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作者：
R. Lercier;C. Ritzenthaler
我们应用经典的不变量理论的二进制形式，明确的同构类的超椭圆曲线的小亏格，反之，提出了算法重建超椭圆模型从给定的不变量。我们主要研究亏格为3的超椭圆曲线。几何和算术方面被认为是。
We apply classical invariant theory of binary forms to explicitly characterize isomorphism classes of hyperelliptic curves of small genus and, conversely, propose algorithms for reconstructing hyperelliptic models from given invariants. We focus on genus 3 hyperelliptic curves. Both geometric and arithmetic aspects are considered.