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- W3046785128 abstract "In this paper we investigate non-rationality of divisors on 3-fold log Fano fibrations $(X,B)to Z$ under mild conditions. We show that if $D$ is a component of $B$ with coefficient $ge t>0$ which is contracted to a point on $Z$, then $D$ is birational to $mathbb{P}^1times C$ where $C$ is a smooth projective curve with gonality bounded depending only on $t$. Moreover, if $t>frac{1}{2}$, then genus of $C$ is bounded depending only on $t$." @default.
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- W3046785128 date "2020-07-30" @default.
- W3046785128 modified "2023-09-27" @default.
- W3046785128 title "Bounding non-rationality of divisors on 3-fold Fano fibrations" @default.
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