Base loci of linear systems and the Waring problem

DOI10.1090/S0002-9939-08-09545-2zbMath1170.14032arXiv0710.5876MaRDI QIDQ3600587

Massimiliano Mella

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5876

zbMATH Keywords

linear systemfat pointsbirational mapsbase locuswaring

Mathematics Subject Classification ID

Rational and birational maps (14E05) Projective techniques in algebraic geometry (14N05) Hypersurfaces and algebraic geometry (14J70)

Related Items

Real rank geometry of ternary forms ⋮ Generalized varieties of sums of powers ⋮ On the number of Waring decompositions for a generic polynomial vector ⋮ Eigenvectors of tensors and algorithms for Waring decomposition ⋮ Birational aspects of the geometry of varieties of sums of powers ⋮ Grassmann secants, identifiability, and linear systems of tensors ⋮ Effective identifiability criteria for tensors and polynomials ⋮ Generic identifiability of pairs of ternary forms ⋮ On generic identifiability of symmetric tensors of subgeneric rank ⋮ Decomposition of homogeneous polynomials with low rank ⋮ Varieties of sums of powers and moduli spaces of \((1,7)\)-polarized abelian surfaces ⋮ Identifiability of homogeneous polynomials and Cremona transformations ⋮ Homotopy techniques for tensor decomposition and perfect identifiability ⋮ Symmetric tensor rank with a tangent vector: a generic uniqueness theorem ⋮ Waring loci and the Strassen conjecture

Cites Work

• Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
• Inverse system of a symbolic power. II: The Waring problem for forms
• Weakly defective varieties
• Singularities of linear systems and the Waring problem
• Varieties of sums of power
• Nonrational Hypersurfaces
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