论文标题

具有大量的自动形态组的表面振动

Surface fibrations with large equivariant automorphism group

论文作者

Gu, Yi

论文摘要

对于相对最小的表面振动$ f:x \ to c $,$ f $ $ f $的模棱两可的自动形态组是$ x $保存纤维化结构的$ x $的自动形态。我们介绍了纤维属$ g \ ge 1 $的这种分类,并在任意封闭的代数封闭场$ \ mathbf {k} $上,其具有e象的自动形态群是无限的。

For a relatively minimal surface fibration $f: X\to C$, the equivariant automorphism group of $f$ is, roughly speaking, the group of automorphisms of $X$ preserving the fibration structure. We present a classification of such fibrations of fibre genus $g\ge 1$ with smooth generic fibre over an arbitrary algebraically closed field $\mathbf{k}$ whose equivariant automorphism group is infinite.

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