28 citations · 56 across the 16 of their papers we have counts for
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math.AG2018
Exponential convexifying of polynomials
Krzysztof Kurdyka, Katarzyna Kuta, Stanisław Spodzieja
Let be a convex closed and semialgebraic set and let be a polynomial positive on . We prove that there exists an exponent , such that for any…
math.AG2018
Global mixed Łojasiewicz inequalities and asymptotic critical values
Si Tiep Dinh, Krzysztof Kurdyka, Tien Son Pham
In this paper, we prove a version of global Łojasiewicz inequality for semialgebraic functions and relate its existence to the set of asymptotic critical values.
math.AG2018★ 1 cited
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka +1
We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. For this purpose we develop motivic integration in the real al…