Seminar talk: C Montoya

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Venue:GL 137

Abstract: Segre varieties and their intersections, known as polarizations, are particular biholomorphic invariants attached to real-analytic hypersurfaces in Cn. These invariants are studied and used to construct a family of real hypersurfaces in n-dimensional complex space that have a large family of analytic sets with nontrivial polarizations. A result that effectively classifies all hypersurfaces with such family of analytic sets and their polarizations is proven.