Tropical invariants for binary quintics and reduction types of Picard curves
Algebraic Geometry
2024-10-07 v3 Number Theory
Abstract
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 .
Keywords
Cite
@article{arxiv.2206.00420,
title = {Tropical invariants for binary quintics and reduction types of Picard curves},
author = {Paul Alexander Helminck and Yassine El Maazouz and Enis Kaya},
journal= {arXiv preprint arXiv:2206.00420},
year = {2024}
}
Comments
25 pages