6 citations · 9 across the 8 of their papers we have counts for
15 papers
Solving Equations Using Khovanskii Bases
Barbara Betti, Marta Panizzut, Simon Telen
We develop a new eigenvalue method for solving structured polynomial equations over any field. The equations are defined on a projective algebraic variety which admits a rational p…
Positive del Pezzo Geometry
Nick Early, Alheydis Geiger, Marta Panizzut +2
Real, complex, and tropical algebraic geometry join forces in a new branch of mathematical physics called positive geometry. We develop the positive geometry of del Pezzo surfaces…
Discrete geometry of Cox rings of blow-ups of
Mara Belotti, Marta Panizzut
We prove quadratic generation for the ideal of the Cox ring of the blow-up of at points, solving a conjecture of Lesieutre and Park. To do this we compute Khovan…
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…
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…
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…