Number of singular fibres of surface fibrations over ℙ1

Let $f : X \to ℙ_{𝕜}^{1}$ be a nonisotrivial surface fibration of fibre genus $g > 0$ over an algebraically closed field $𝕜$ of positive characteristic, we study the optimum lower bound for the number of singular fibres of $f$ with respect to the characteristic of $𝕜$ in this paper.

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Keywords

algebraic surface, singular fibre, positive characteristic

Mathematical Subject Classification 2010

Primary: 14D05, 14D06

Milestones

Received: 21 August 2019

Revised: 16 August 2020

Accepted: 17 November 2020

Published: 14 January 2021

Authors

Cheng Gong
Department of Mathematics Soochow University Suzhou Jiangsu Province China

Yi Gu
Department of Mathematics Soochow University Suzhou Jiangsu Province China

Vol. 309, No. 2, 2020

Cheng Gong and Yi Gu

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification 2010

Milestones

Authors