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math.AC2021
Koszul-type determinantal formulas for families of mixed multilinear systems
Matías R. Bender, Jean-Charles Faugère, Angelos Mantzaflaris +1
Effective computation of resultants is a central problem in elimination theory and polynomial system solving. Commonly, we compute the resultant as a quotient of determinants of ma…
math.AC2020
Punctual Hilbert Schemes and Certified Approximate Singularities
Angelos Mantzaflaris, Bernard Mourrain, Agnes Szanto
In this paper we provide a new method to certify that a nearby polynomial system has a singular isolated root with a prescribed multiplicity structure. More precisely, given a poly…