On Szpiro inequality for semistable families of curves

Sheng Li Tan; Wan Yuan Xu

doi:10.1016/j.jnt.2014.11.012

On Szpiro inequality for semistable families of curves

Sheng Li Tan, Wan Yuan Xu

School of Mathematical Sciences

East China Normal University

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

1 Scopus citations

Abstract

We give several optimal inequalities of Szpiro's type for curves of genus g≥. 2 defined over a function field.

Original language	English
Pages (from-to)	36-45
Number of pages	10
Journal	Journal of Number Theory
Volume	151
DOIs	https://doi.org/10.1016/j.jnt.2014.11.012
State	Published - 1 Jun 2015

Keywords

Arakelov inequality
Curve over function field
Discriminant
Slope inequality
Szpiro inequality

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10.1016/j.jnt.2014.11.012

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title = "On Szpiro inequality for semistable families of curves",

abstract = "We give several optimal inequalities of Szpiro's type for curves of genus g≥. 2 defined over a function field.",

keywords = "Arakelov inequality, Curve over function field, Discriminant, Slope inequality, Szpiro inequality",

author = "Tan, \{Sheng Li\} and Xu, \{Wan Yuan\}",

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year = "2015",

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doi = "10.1016/j.jnt.2014.11.012",

language = "英语",

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AU - Xu, Wan Yuan

PY - 2015/6/1

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N2 - We give several optimal inequalities of Szpiro's type for curves of genus g≥. 2 defined over a function field.

AB - We give several optimal inequalities of Szpiro's type for curves of genus g≥. 2 defined over a function field.

KW - Arakelov inequality

KW - Curve over function field

KW - Discriminant

KW - Slope inequality

KW - Szpiro inequality

UR - https://www.scopus.com/pages/publications/84923865807

U2 - 10.1016/j.jnt.2014.11.012

DO - 10.1016/j.jnt.2014.11.012

M3 - 文章

AN - SCOPUS:84923865807

SN - 0022-314X

VL - 151

SP - 36

EP - 45

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

On Szpiro inequality for semistable families of curves

Abstract

Keywords

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