The maximal rank conjecture for sections of curves

DOI10.1016/j.jalgebra.2020.03.006zbMath1437.14038arXiv1208.2730OpenAlexW3015125978WikidataQ123140891 ScholiaQ123140891MaRDI QIDQ2174537

Eric Larson

Publication date: 21 April 2020

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

Full work available at URL: https://arxiv.org/abs/1208.2730

zbMATH Keywords

Hilbert functionalgebraic curvesprojective curvesBrill Noether theoryhyperplane section.

Mathematics Subject Classification ID

Plane and space curves (14H50) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (10)

Interpolation for Curves in Projective Space with Bounded Error ⋮ On the Hilbert function of intersections of a hypersurface with general reducible curves ⋮ Curves in projective spaces: questions and remarks ⋮ The maximal rank conjecture for sections of curves ⋮ Good components of curves in projective spaces outside the Brill–Noether range ⋮ Constructing reducible Brill-Noether curves. II ⋮ On the multigraded Hilbert function of lines and rational curves in multiprojective spaces ⋮ Limit linear series and ranks of multiplication maps ⋮ Unnamed Item ⋮ Constructing reducible Brill-Noether curves

Cites Work

• Unnamed Item
• Tropical independence. II: The maximal rank conjecture for quadrics
• Embeddings of general curves in projective spaces: the range of the quadrics
• Sur la postulation generique des courbes rationnelles
• The maximal rank conjecture for sections of curves
• The DNA Inequality in non-convex regions
• The generality of a section of a curve

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