Extreme Nonnegative Quadratics over Stanley Reisner Varieties
Kevin Shu
Abstract:We consider the convex geometry of the cone of nonnegative quadratics over Stanley-Reisner varieties. Stanley-Reisner varieties (which are unions of coordinate planes) are amongst the simplest real projective varieties, so this is potentially a starting point that can generalize to more complicated real projective varieties. This subject has some suprising connections to algebraic topology and category theory, which we exploit heavily in our work.These questions are also valuable in applied math, because they … Show more
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