A simple characteristic-free proof of the Brill-Noether theorem

DOI10.1007/s00574-014-0076-4zbMath1308.14037arXiv1108.4967OpenAlexW1978189399MaRDI QIDQ487074

Brian Osserman

Publication date: 19 January 2015

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4967

zbMATH Keywords

positive characteristiclimit linear seriesBrill-Noether theorem

Mathematics Subject Classification ID

Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (14)

Du Val curves and the pointed Brill-Noether theorem ⋮ Brill-Noether theory for cyclic covers ⋮ Divisors on the Moduli Space of Curves From Divisorial Conditions On Hypersurfaces ⋮ Dimension counts for limit linear series on curves not of compact type ⋮ Kirchhoff’s theorem for Prym varieties ⋮ Stability of normal bundles of space curves ⋮ Relative Bott-Samelson varieties ⋮ Motivic classes of degeneracy loci and pointed Brill‐Noether varieties ⋮ The Gieseker–Petri theorem and imposed ramification ⋮ Linear series with \(\rho<0\) via thrifty Lego building ⋮ Genera of Brill-Noether curves and staircase paths in Young tableaux ⋮ A refined Brill-Noether theory over Hurwitz spaces ⋮ Effective cycles on the symmetric product of a curve. II: The Abel-Jacobi faces ⋮ Euler characteristics of Brill-Noether varieties

Cites Work

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• Divisors on general curves and cuspidal rational curves
• A limit linear series moduli scheme
• Stable curves and special divisors: Petri's conjecture
• Limit linear series: Basic theory
• On the variety of special linear systems on a general algebraic curve
• Linked Grassmannians and crude limit linear series
• Moduli of Crude Limit Linear Series
• A theorem of Gieseker-Petri type for Prym varieties

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