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Tropical invariants for binary quintics and reduction types of Picard curves
Published online by Cambridge University Press: 06 November 2023
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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- Research Article
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust