On singularities of third secant varieties of Veronese embeddings

Abstract

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 $({\mathbb{C}}^{n+1}{)}^{\otimes d}$.

12 pages, 3 figures. Subsection 2.3.1 for Aronhold case added. To appear in Linear Algebra and Its Applications

References in corpus (2)

• Secant cumulants and toric geometry
• Reducing the number of variables of a polynomial

Cited by in corpus (1)

• Border Ranks of Monomials