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arxiv: 1411.5063 · v3 · pith:ZWFDEROCnew · submitted 2014-11-18 · 🧮 math.AG · math.AC

On singularities of third secant varieties of Veronese embeddings

classification 🧮 math.AG math.AC
keywords mathbbsecantsingularitiesthirdvarietiesveronesebordercorresponds
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In this paper we study singularities of third secant varieties of Veronese embedding $v_d(\mathbb{P}^n)$, which corresponds to the variety of symmetric tensors of border rank at most three in $(\mathbb{C}^{n+1})^{\otimes d}$.

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