Secant dimensions of low-dimensional homogeneous varieties

DOI10.1515/ADVGEOM.2010.001zbMath1186.14054arXiv0707.1605MaRDI QIDQ3405588

Jan Draisma, Karin Baur

Publication date: 10 February 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1605

zbMATH Keywords

homogeneous varietiestropical geometryhigher secant varietiesdefective varietiesSegre-Veronese embeddings

Mathematics Subject Classification ID

Related Items (8)

Set evincing the ranks with respect to an embedded variety (symmetric tensor rank and tensor rank) ⋮ Secant varieties of Segre-Veronese embeddings of \((\mathbb{P }^1)^r\) ⋮ A note on the simultaneous Waring rank of monomials ⋮ On the dimensions of secant varieties of Segre-Veronese varieties ⋮ On the gonality sequence of smooth curves: normalizations of singular curves in a quadric surface ⋮ Higher Secant Varieties of ℙⁿ × ℙ¹Embedded in Bi-Degree (a,b) ⋮ Identifiability of rank-3 tensors ⋮ On secant dimensions and identifiability of flag varieties

Cites Work

• Tropical secant varieties of linear spaces
• On the ideals of secant varieties to certain rational varieties
• A tropical approach to secant dimensions
• On the Alexander-Hirschowitz theorem

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