On lower bounds for slopes of totally ramified triple cover fibrations

Pan Liu; Jun Lu; Fei Ye

doi:10.4310/AJM.2017.v21.n5.a8

On lower bounds for slopes of totally ramified triple cover fibrations

Pan Liu
, Jun Lu
, Fei Ye

数学科学学院

East China Normal University
City University of New York

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

Let f: S → C be a totally ramified triple cover fibration of type (g, γ). We prove that the slope of f has a sharp lower bound 24(g-1)/ 5g-6γ+1 given that g > 15/2γ+ 5/2. We also characterize fibrations that achieve the bound.

源语言	英语
页（从-至）	981-994
页数	14
期刊	Asian Journal of Mathematics
卷	21
期	5
DOI	https://doi.org/10.4310/AJM.2017.v21.n5.a8
出版状态	已出版 - 2017

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10.4310/AJM.2017.v21.n5.a8

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title = "On lower bounds for slopes of totally ramified triple cover fibrations",

abstract = "Let f: S → C be a totally ramified triple cover fibration of type (g, γ). We prove that the slope of f has a sharp lower bound 24(g-1)/ 5g-6γ+1 given that g > 15/2γ+ 5/2. We also characterize fibrations that achieve the bound.",

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T1 - On lower bounds for slopes of totally ramified triple cover fibrations

AU - Liu, Pan

AU - Lu, Jun

AU - Ye, Fei

PY - 2017

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N2 - Let f: S → C be a totally ramified triple cover fibration of type (g, γ). We prove that the slope of f has a sharp lower bound 24(g-1)/ 5g-6γ+1 given that g > 15/2γ+ 5/2. We also characterize fibrations that achieve the bound.

AB - Let f: S → C be a totally ramified triple cover fibration of type (g, γ). We prove that the slope of f has a sharp lower bound 24(g-1)/ 5g-6γ+1 given that g > 15/2γ+ 5/2. We also characterize fibrations that achieve the bound.

KW - Index theorem

KW - Singularity

KW - Slope

KW - Triple cover

UR - https://www.scopus.com/pages/publications/85041710680

U2 - 10.4310/AJM.2017.v21.n5.a8

DO - 10.4310/AJM.2017.v21.n5.a8

M3 - 文章

AN - SCOPUS:85041710680

SN - 1093-6106

VL - 21

SP - 981

EP - 994

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 5

ER -

On lower bounds for slopes of totally ramified triple cover fibrations

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