33 citations · 81 across the 24 of their papers we have counts for
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math.AC2020★ 2 cited
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…
cs.SC2020★ 6 cited
Smooth Points on Semi-algebraic Sets
Katherine Harris, Jonathan D. Hauenstein, Agnes Szanto
Many algorithms for determining properties of real algebraic or semi-algebraic sets rely upon the ability to compute smooth points. Existing methods to compute smooth points on sem…