Families of hyperelliptic curves with maximal slopes

Xiao Lei Liu; Sheng Li Tan

doi:10.1007/s11425-013-4634-9

Families of hyperelliptic curves with maximal slopes

Xiao Lei Liu
, Sheng Li Tan

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

For each integer g ≥ 2, we construct a family of hyperelliptic curves of genus g whose slope reaches the upper bound obtained by Xiao.

源语言	英语
页（从-至）	1743-1750
页数	8
期刊	Science China Mathematics
卷	56
期	9
DOI	https://doi.org/10.1007/s11425-013-4634-9
出版状态	已出版 - 9月 2013

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title = "Families of hyperelliptic curves with maximal slopes",

abstract = "For each integer g ≥ 2, we construct a family of hyperelliptic curves of genus g whose slope reaches the upper bound obtained by Xiao.",

keywords = "hyperelliptic curve, modular invariant, moduli space of curves, semistable reduction, slope",

author = "Liu, \{Xiao Lei\} and Tan, \{Sheng Li\}",

year = "2013",

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doi = "10.1007/s11425-013-4634-9",

language = "英语",

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AU - Tan, Sheng Li

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AB - For each integer g ≥ 2, we construct a family of hyperelliptic curves of genus g whose slope reaches the upper bound obtained by Xiao.

KW - hyperelliptic curve

KW - modular invariant

KW - moduli space of curves

KW - semistable reduction

KW - slope

UR - https://www.scopus.com/pages/publications/84879890964

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DO - 10.1007/s11425-013-4634-9

M3 - 文章

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JO - Science China Mathematics

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Families of hyperelliptic curves with maximal slopes

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