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math.CO2022
The tropical -gonal construction
Felix Röhrle, Dmitry Zakharov
We give a purely tropical analogue of Donagi's -gonal construction and investigate its combinatorial properties. The input of the construction is a harmonic double cover of an $…
math.AG2022
Principal bundles on metric graphs: the case
Andreas Gross, Martin Ulirsch, Dmitry Zakharov
Using the notion of a root datum of a reductive group we propose a tropical analogue of a principal -bundle on a metric graph. We focus on the case , i.e. t…