most citedOn the Computation of the Topology of a Non-Reduced Implicit Space Curve

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math.AG2018

Low degree approximation of random polynomials

Daouda Niang Diatta, Antonio Lerario

We prove that with "high probability" a random Kostlan polynomial in many variables and of degree can be approximated by a polynomial of "low degree" without changing the…

math.AG2018

Bounds for polynomials on algebraic numbers and application to curve topology

Daouda Niang Diatta, Sény Diatta, Fabrice Rouillier +2

Let be a given square-free polynomial of total degree with integer coefficients of bitsize less than , and let $V_{\mathbb{R}} (P) := \{ (x,y) \in…