Geometry of curves with exceptional secant planes: Linear series along the general curve

DOI10.1007/s00209-009-0635-3zbMath1213.14064arXiv0706.2049OpenAlexW2008249743MaRDI QIDQ2430649

Ethan Cotterill

Publication date: 8 April 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2049

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (10)

Tautological integrals on symmetric products of curves ⋮ Secant planes of a general curve via degenerations ⋮ Hyperbolic secant varieties of \(M\)-curves ⋮ Locally oriented noncrossing trees ⋮ A bijective enumeration of labeled trees with given indegree sequence ⋮ Effective divisors on \({\overline{\mathcal{M}}}_g\) associated to curves with exceptional secant planes ⋮ Geometry of curves with exceptional secant planes: Linear series along the general curve ⋮ Structure of the cycle map for Hilbert schemes of families of nodal curves ⋮ Counting labelled trees with given indegree sequence ⋮ Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics

Uses Software

• Macnodal

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tautological module and intersection theory on Hilbert schemes of nodal curves
• Divisors on general curves and cuspidal rational curves
• A simpler proof of the Gieseker-Petri theorem on special divisors
• Chern numbers of kernel and cokernel bundles. Appendix to On the Kodaira dimension of the moduli space of curves. II. The even-genus case by J. Harris
• Slopes of effective divisors on the moduli space of stable curves
• Counting labelled trees with given indegree sequence
• Curvilinear enumerative geometry
• Limit linear series: Basic theory
• Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
• Dyck path enumeration
• Effective divisors on \({\overline{\mathcal{M}}}_g\) associated to curves with exceptional secant planes
• Geometry of curves with exceptional secant planes: Linear series along the general curve
• On multisecant spaces to algebraic curves
• Irreducibility and monodromy of some families of linear series
• Higher ramification and varieties of secant divisors on the generic curve
• Geometry of the Severi Variety
• geometry on nodal curves
• A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems

This page was built for publication: Geometry of curves with exceptional secant planes: Linear series along the general curve