On the gonality and the slope of a fibered surface

Xin Lu; Kang Zuo

doi:10.1016/j.aim.2017.11.014

On the gonality and the slope of a fibered surface

Xin Lu^*
, Kang Zuo

^*此作品的通讯作者

数学科学学院

Johannes Gutenberg University Mainz

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

Let f:X→B be a locally non-trivial relatively minimal fibration of curves of genus g≥2. We obtain a lower bound of the slope λ(f) increasing with the gonality of the general fiber of f. In particular, we show that λ(f)≥4 provided that f is non-hyperelliptic and g≥16.

源语言	英语
页（从-至）	336-354
页数	19
期刊	Advances in Mathematics
卷	324
DOI	https://doi.org/10.1016/j.aim.2017.11.014
出版状态	已出版 - 14 1月 2018

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10.1016/j.aim.2017.11.014

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title = "On the gonality and the slope of a fibered surface",

abstract = "Let f:X→B be a locally non-trivial relatively minimal fibration of curves of genus g≥2. We obtain a lower bound of the slope λ(f) increasing with the gonality of the general fiber of f. In particular, we show that λ(f)≥4 provided that f is non-hyperelliptic and g≥16.",

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doi = "10.1016/j.aim.2017.11.014",

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T1 - On the gonality and the slope of a fibered surface

AU - Lu, Xin

AU - Zuo, Kang

PY - 2018/1/14

Y1 - 2018/1/14

N2 - Let f:X→B be a locally non-trivial relatively minimal fibration of curves of genus g≥2. We obtain a lower bound of the slope λ(f) increasing with the gonality of the general fiber of f. In particular, we show that λ(f)≥4 provided that f is non-hyperelliptic and g≥16.

AB - Let f:X→B be a locally non-trivial relatively minimal fibration of curves of genus g≥2. We obtain a lower bound of the slope λ(f) increasing with the gonality of the general fiber of f. In particular, we show that λ(f)≥4 provided that f is non-hyperelliptic and g≥16.

KW - Fibered surfaces

KW - Gonality

KW - Slope inequality

UR - https://www.scopus.com/pages/publications/85035127995

U2 - 10.1016/j.aim.2017.11.014

DO - 10.1016/j.aim.2017.11.014

M3 - 文章

AN - SCOPUS:85035127995

SN - 0001-8708

VL - 324

SP - 336

EP - 354

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

On the gonality and the slope of a fibered surface

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