Automorphism groups of P 1 $\mathbb {P}^1$ -bundles over geometrically ruled surfaces

IF 1.4 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-09 DOI:10.1112/jlms.70593

Pascal Fong

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引用次数: 0

Abstract

We classify the pairs $(X, π)$ , where $π : X \to S$ is a $P^{1}$ -bundle over a non-rational geometrically ruled surface $S$ and ${Aut}^{\circ} (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group $Bir (X / S)$ . The results hold over any algebraically closed field of characteristic zero.

Abstract Image

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几何直纹曲面上p1 $\mathbb {P}^1$ -束的自同构群

我们对（X, π） $(X,\pi)$进行分类，其中π：X→S $\pi \colon X\rightarrow S$是在无理数几何直边曲面S $S$和上的p1 $\mathbb {P}^1$束(X) $\mathrm{Aut}^\circ (X)$是相对最大的，即：与Bir （X / S）组相关的最大值$\mathrm{Bir}(X/S)$。结果适用于任何特征为零的代数闭场。

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.