On the normality of secant varieties

DOI10.1016/j.aim.2015.10.025zbMath1338.14050arXiv1408.0865OpenAlexW2963429085MaRDI QIDQ900860

Brooke Ullery

Publication date: 23 December 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0865

zbMATH Keywords

positivityHilbert schemevector bundle\(k\)-very ample line bundlesecant varietynormality of secant variety

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05) Projective techniques in algebraic geometry (14N05)

Related Items

Ample bodies and Terracini loci of projective varieties ⋮ Singularities and syzygies of secant varieties of nonsingular projective curves ⋮ Ideals of bounded rank symmetric tensors are generated in bounded degree ⋮ Ranks on the boundaries of secant varieties

Cites Work

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• Combinatorial secant varieties
• Secant varieties of toric varieties
• On secant varieties of compact Hermitian symmetric spaces
• On the projective normality of complete linear series on an algebraic curve
• Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space
• Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension
• Syzygies of the secant variety of a curve
• On the ideals of secant varieties to certain rational varieties
• Algebraic geometry of Bayesian networks
• Regularity and normality of the secant variety to a projective curve
• Projected canonical curves and the Clifford index
• Segre-Veronese embeddings of \(\mathbb P^1\times\mathbb P^1\times\mathbb P^1\) and their secant varieties
• Equations and syzygies of the first secant variety to a smooth curve
• Equations Defining Secant Varieties: Geometry and Computation
• Geometry and the complexity of matrix multiplication
• On tensor products of $k$-very ample line bundles
• Varieties Defined by Quadratic Equations
• Symmetric Products and Jacobians