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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
Linear preservers of secant varieties and other varieties of tensors
Fulvio Gesmundo, Young In Han, Benjamin Lovitz
We study the problem of characterizing linear preserver subgroups of algebraic varieties, with a particular emphasis on secant varieties and other varieties of tensors. We introduc…