论文标题

PICARD曲线的二元五分化和还原类型的热带不变性

Tropical invariants for binary quintics and reduction types of Picard curves

论文作者

Helminck, Paul Alexander, Maazouz, Yassine El, Kaya, Enis

论文摘要

我们以与二进制五分之一相关的热带不变性来表达PICARD曲线的减少类型。我们还为与任意品种的小组动作相关的热带不变性提供了一个一般框架。通过将二进制形式的空间映射到deligne-mumford compactification $ \ overline {m} _ {0,n} $的对称版本中,找到二进制形式的热带不变性的问题适合此一般框架。

We express the reduction types of Picard curves in terms of tropical invariants associated to binary quintics. We also give a general framework for tropical invariants associated to group actions on arbitrary varieties. The problem of finding tropical invariants for binary forms fits in this general framework by mapping the space of binary forms to symmetrized versions of the Deligne-Mumford compactification $\overline{M}_{0,n}$.

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