The Hilbert function of general unions of lines and double lines in the projective space

DOI10.1016/j.jalgebra.2024.02.030arXiv2109.05452OpenAlexW3200080264MaRDI QIDQ6203787

Edoardo Ballico

Publication date: 8 April 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05452

zbMATH Keywords

Hilbert functionpostulationmaximal rank curvedouble lines

Mathematics Subject Classification ID

Plane and space curves (14H50) Projective techniques in algebraic geometry (14N05)

Cites Work

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• On postulation of curves: Embeddings by complete linear series
• Interpolation on curvilinear schemes
• On linear systems of curves on rational scrolls
• Postulation of generic lines and one double line in \(\mathbb {P}^n\) in view of generic lines and one multiple linear space
• Subspace arrangements, configurations of linear spaces and the quadrics containing them
• On the postulation of lines and a fat line

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