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math.AG2022
Generic root counts and flatness in tropical geometry
Paul Alexander Helminck, Yue Ren
We use tropical and non-archimedean geometry to study the generic number of solutions of families of polynomial equations over a parameter space . In particular, we are interest…
math.AG2022★ 1 cited
Tropical invariants for binary quintics and reduction types of Picard curves
Paul Alexander Helminck, Yassine El Maazouz, Enis Kaya
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 t…