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math.AG2021
Computing tropical bitangents to smooth quartic curves in polymake
Alheydis Geiger, Marta Panizzut
In this article we introduce the recently developed polymake extension TropicalQuarticCurves and its associated database entry in polyDB dealing with smooth tropical quartic curves…
math.AG2021★ 1 cited
A tropical count of real bitangents to plane quartic curves
Alheydis Geiger, Marta Panizzut
A smooth tropical quartic curve has seven tropical bitangent classes. Their shapes can vary within the same combinatorial type of curve. We study deformations of these shapes and w…
math.CO2021
Algebraic Degrees of 3-Dimensional Polytopes
Mara Belotti, Michael Joswig, Marta Panizzut
Results of Koebe (1936), Schramm (1992), and Springborn (2005) yield realizations of -polytopes with edges tangent to the unit sphere. Here we study the algebraic degrees of suc…