Daniel Perrucci

activity

20032023

most citedAn elementary recursive bound for effective Positivstellensatz and Hilbert 17-th problem

18 citations · 28 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.AG2023

Algebraic Winding Numbers

Daniel Perrucci, Marie-Françoise Roy

In this paper, we propose a new algebraic winding number and prove that it computes the number of complex roots of a polynomial in a rectangle, including roots on edges or vertices…

math.AG2023

Rational certificates of non-negativity on semialgebraic subsets of cylinders

Gabriela Jeronimo, Daniel Perrucci

Let $g_{1}, \dots, g_{s} \in R [X_{1}, \dots, X_{n}, Y]$ and $S = {(x ˉ, y) \in R^{n + 1} ∣ g_{1} (x ˉ, y) \geq 0, \dots, g_{s} (x ˉ, y) \geq 0}$ be a non-empty, possibly…