On singularities of third secant varieties of Veronese embeddings
  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 $(\mathbb{C}^{n+1})^{\otimes d}$. 
Kangjin Han
math.AG math.AC