3 papers
math.AG2026
Border rank=rank for Kruskal tensors and a Kruskal's theorem for skew decompositions
Alexander Taveira Blomenhofer, Benjamin Lovitz
We show that border rank is equal to rank for Kruskal tensors. We also give an analogous Kruskal condition for alternating tensors, which certifies uniqueness of skew rank decompos…
math.AG2024
Nondefectivity of invariant secant varieties
Alexander Taveira Blomenhofer, Alex Casarotti
We show that a large class of secant varieties is nondefective. In particular, we positively resolve most cases of the Baur-Draisma-de Graaf conjecture on Grassmannian secants in l…
math.AG2023
Unique powers-of-forms decompositions from simple Gram spectrahedra
Alexander Taveira Blomenhofer
We consider simultaneous Waring decompositions: Given forms of degrees , , which admit a representation as -th power sums of -forms $ q_1,\ldot…