Secant planes of a general curve via degenerations

DOI10.1007/s10711-020-00545-3zbMath1472.14015arXiv1901.06430OpenAlexW2916567338MaRDI QIDQ2664079

Xiang He, Ethan Cotterill, Naizhen Zhang

Publication date: 20 April 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06430

zbMATH Keywords

degenerationslinear seriesmoduli of curves

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Families, moduli of curves (algebraic) (14H10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Algebraic moduli problems, moduli of vector bundles (14D20) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Cites Work

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• Limit linear series for curves not of compact type
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• Effective divisors on \({\overline{\mathcal{M}}}_g\) associated to curves with exceptional secant planes
• Linked Hom spaces
• Geometry of curves with exceptional secant planes: Linear series along the general curve
• Linked determinantal loci and limit linear series
• Higher ramification and varieties of secant divisors on the generic curve
• Geometric Invariant Theory
• Curves Over Discrete Valuation Rings

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