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Nonlinear methods for tensors: determinantal equations for secant varieties beyond cactus.https://arxiv.org/abs/2602.12762

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Unrestrictions and concise secant varieties

math.AG · 2026-04-27 · unverdicted · novelty 7.0

Concise secant varieties are defined as modular partial desingularizations of secant varieties to Segre embeddings that are birational to abstract secant varieties with points corresponding exactly to concise minimal border rank tensors, enabling new characterizations of border rank, cactus rank, ap

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  • Unrestrictions and concise secant varieties math.AG · 2026-04-27 · unverdicted · none · ref 7

    Concise secant varieties are defined as modular partial desingularizations of secant varieties to Segre embeddings that are birational to abstract secant varieties with points corresponding exactly to concise minimal border rank tensors, enabling new characterizations of border rank, cactus rank, ap