Algebraic Geometry Seminar
Friday, February 10, 2017, 3:15pm, 119 Physics
Bernd Sturmfels (UC Berkeley and MPI Leipzig)
Real rank-two geometry
Abstract:- The real rank-two locus of an algebraic variety is the closure of
the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set. Its algebraic boundary consists of the tangential variety and the edge variety. Our study of Segre and Veronese varieties yields a characterization of tensors of real rank two. This is joint with Anna Seigal. [video]
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