二元五次方程的热带不变量与皮卡德曲线的约化类型

Pub Date : 2023-11-06 DOI:10.1017/s0017089523000344

Paul Alexander Helminck, Yassine El Maazouz, Enis Kaya

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引用次数: 1

摘要

摘要本文用与二元五项相关的热带不变量来表示皮卡德曲线的约简类型。我们还给出了与任意变异上的群作用相关的热带不变量的一般框架。通过将二进制形式的空间映射到delignee - mumford紧化$\overline{M}_{0,n}$的对称形式，找到二进制形式的热带不变量的问题就符合这个一般框架。

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Tropical invariants for binary quintics and reduction types of Picard curves

Abstract In this paper, we express the reduction types of Picard curves in terms of tropical invariants associated with binary quintics. We also give a general framework for tropical invariants associated with 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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