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arXiv · 1207.2382

On the order of the automorphism group of foliations

Maurício Corrêa Jr·Thiago Fassarella
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Abstract

Let $\mathcal F$ be a holomorphic foliation with ample canonical bundle on a smooth projective surface $X$. We obtain an upper bound on the order of its automorphism group which depends only on $K_{\mathcal F}^2$ and $K_{\mathcal F}K_{X}$, provided this group is finite. Here, $K_{\mathcal F}$ and $K_{X}$ are the canonical bundles of $\mathcal F$ and $X$, respectively.

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Maurício Corrêa Jr, Thiago Fassarella. 2013-07-02. On the order of the automorphism group of foliations. https://doi.org/10.1002/mana.201300024

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