The Grassmannians of secant varieties of curves are not defective.

DOI10.1016/S0019-3577(02)90003-0zbMath1047.14035MaRDI QIDQ1866453

Ciro Ciliberto, Luca Chiantini

Publication date: 1 June 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Grassmannians of secant varietiesnot defective curvessecant varieties of irreducible curves

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Families, moduli of curves (algebraic) (14H10) Projective techniques in algebraic geometry (14N05)

Related Items (12)

On HighG_k−1,k-Defective Varieties ⋮ SMOOTH THREEFOLDS WITH G_2,3-DEFECT ⋮ Grassmann secants, identifiability, and linear systems of tensors ⋮ Normal bundle of rational curves and Waring decomposition ⋮ On the dimensions of secant varieties of Segre-Veronese varieties ⋮ Higher secant varieties of \(\mathbb P^n \times \mathbb P^n\) embedded in bi-degree \((1,d)\) ⋮ Higher Secant Varieties of ℙⁿ × ℙ¹Embedded in Bi-Degree (a,b) ⋮ The classification of \((1, k)\)-defective surfaces ⋮ Zero-dimensional subschemes of ruled varieties ⋮ Classification of (1, 2)-Grassmann secant defective threefolds ⋮ Identifiability of rank-3 tensors ⋮ On \(G_{k-1,k}\)-defectivity of smooth surfaces and threefolds

Cites Work

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• Weakly defective varieties
• Grassmannians of secant varieties

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