References & Citations
Mathematics > Algebraic Geometry
Title: The probabilistic method in real singularity theory
(Submitted on 31 Jul 2023)
Abstract: We explain how to use the probabilistic method to prove the existence of real polynomial singularities with rich topology, i.e. with total Betti number of the maximal possible order. We show how similar ideas can be used to produce real algebraic projective hypersurfaces with a rich structure of umbilical points.
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