#### Vol. 309, No. 2, 2020

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Number of singular fibres of surface fibrations over $\mathbb{P}^1$

### Cheng Gong and Yi Gu

Vol. 309 (2020), No. 2, 313–331
##### Abstract

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

##### Keywords
algebraic surface, singular fibre, positive characteristic
##### Mathematical Subject Classification 2010
Primary: 14D05, 14D06