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تسجيل مستخدم جديدSecant varieties of toric varieties arising from simplicial complexes
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Motivated by the study of the secant variety of the Segre-Veronese variety we propose a general framework to analyze properties of the secant varieties of toric embeddings of affine spaces defined by simplicial complexes. We prove that every such secant is toric, which gives a way to use combinatorial tools to study singularities. We focus on the Segre-Veronese variety for which we completely classify their secants that give Gorenstein or $mathbb Q$-Gorenstein varieties. We conclude providing the explicit description of the singular locus.
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