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

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Pages (from-to)	1743-1750
Number of pages	8
Journal	Science China Mathematics
Volume	56
Issue number	9
DOIs	https://doi.org/10.1007/s11425-013-4634-9
State	Published - Sep 2013

Keywords

hyperelliptic curve
modular invariant
moduli space of curves
semistable reduction
slope

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10.1007/s11425-013-4634-9

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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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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

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VL - 56

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JO - Science China Mathematics

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Families of hyperelliptic curves with maximal slopes

Abstract

Keywords

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