6 citations · 44 across the 16 of their papers we have counts for
4 papers · 1 filter
Permutations encoding the local shape of level curves of real polynomials via generic projections
Miruna-Stefana Sorea
The non-convexity of a smooth and compact connected component of a real algebraic plane curve can be measured by a combinatorial object called the Poincare-Reeb tree associated to…
On the eigenpoints of cubic surfaces
Türkü Özlüm Celik, Francesco Galuppi, Avinash Kulkarni +1
We show that the eigenschemes of symmetric tensors are parametrized by a linear subvariety of the Grassmannian . We also…
Measuring the local non-convexity of real algebraic curves
Miruna-Stefana Sorea
The goal of this paper is to measure the non-convexity of compact and smooth connected components of real algebraic plane curves. We study these curves first in a general setting a…
Constructing Separable Arnold Snakes of Morse Polynomials
Miruna-Stefana Sorea
We give a new and constructive proof of the existence of a special class of univariate polynomials whose graphs have preassigned shapes. By definition, all the critical points of a…