Geodesic
Tropical invariants for binary quintics and reduction types of Picard curves
Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 65-87

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DOI

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 $\overline{M}_{0,n}$.
DOI : 10.1017/S0017089523000344
Mots-clés : Tropical geometry, Invariant theory, Picard curves, Binary forms 
Helminck, Paul Alexander; Maazouz, Yassine El; Kaya, Enis. Tropical invariants for binary quintics and reduction types of Picard curves. Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 65-87. doi: 10.1017/S0017089523000344
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     title = {Tropical invariants for binary quintics and reduction types of {Picard} curves},
     journal = {Glasgow mathematical journal},
     pages = {65--87},
     year = {2024},
     volume = {66},
     number = {1},
     doi = {10.1017/S0017089523000344},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000344/}
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