Slopes of non-hyperelliptic fibrations in positive characteristic

Xin Lu; Hao Sun

doi:10.1093/imrn/rnw062

Slopes of non-hyperelliptic fibrations in positive characteristic

Xin Lu
, Hao Sun^*

^*Corresponding author for this work

China Normal University
Johannes Gutenberg University Mainz
Shanghai Normal University

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

Abstract

Let f : S → B be a non-hyperelliptic semi-stable surface fibration in positive characteristic with genus g ≥ 17. We show that K_f² ≥ 4χ_f.

Original language	English
Pages (from-to)	1155-1178
Number of pages	24
Journal	International Mathematics Research Notices
Volume	2017
Issue number	4
DOIs	https://doi.org/10.1093/imrn/rnw062
State	Published - 1 Feb 2017
Externally published	Yes

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title = "Slopes of non-hyperelliptic fibrations in positive characteristic",

abstract = "Let f : S → B be a non-hyperelliptic semi-stable surface fibration in positive characteristic with genus g ≥ 17. We show that Kf2 ≥ 4χf.",

author = "Xin Lu and Hao Sun",

year = "2017",

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AU - Sun, Hao

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N2 - Let f : S → B be a non-hyperelliptic semi-stable surface fibration in positive characteristic with genus g ≥ 17. We show that Kf2 ≥ 4χf.

AB - Let f : S → B be a non-hyperelliptic semi-stable surface fibration in positive characteristic with genus g ≥ 17. We show that Kf2 ≥ 4χf.

UR - https://www.scopus.com/pages/publications/85019683208

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DO - 10.1093/imrn/rnw062

M3 - 文章

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SN - 1073-7928

VL - 2017

SP - 1155

EP - 1178

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 4

ER -

Slopes of non-hyperelliptic fibrations in positive characteristic

Abstract

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