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

^*Corresponding author for this work

School of Mathematical Sciences

Johannes Gutenberg University Mainz

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

8 Scopus citations

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.

Original language	English
Pages (from-to)	336-354
Number of pages	19
Journal	Advances in Mathematics
Volume	324
DOIs	https://doi.org/10.1016/j.aim.2017.11.014
State	Published - 14 Jan 2018

Keywords

Fibered surfaces
Gonality
Slope inequality

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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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author = "Xin Lu and Kang Zuo",

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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

Abstract

Keywords

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