Concise secant varieties are introduced as birational models of secant varieties to Segre embeddings whose points parametrize concise minimal-border-rank tensors, yielding characterizations of border rank, cactus rank, and related objects.
Detecting Direct Sums of Tensors and Their Limits
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes equivalence between Hankel flat extension and multiplication tensor completion for cactus rank in Artinian Gorenstein algebras, plus reduction of basis shapes via Borel-fixed staircases.
citing papers explorer
-
Unrestrictions and concise secant varieties
Concise secant varieties are introduced as birational models of secant varieties to Segre embeddings whose points parametrize concise minimal-border-rank tensors, yielding characterizations of border rank, cactus rank, and related objects.
-
Hankel and Multiplication Tensor Completions for Cactus Rank
Establishes equivalence between Hankel flat extension and multiplication tensor completion for cactus rank in Artinian Gorenstein algebras, plus reduction of basis shapes via Borel-fixed staircases.