Remarks on Brill-Noether divisors and Hilbert schemes

DOI10.1016/j.jpaa.2011.06.019zbMath1234.14027OpenAlexW1970767177WikidataQ112881998 ScholiaQ112881998MaRDI QIDQ659875

Seonja Kim, Young Rock Kim, Youngook Choi

Publication date: 24 January 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.06.019

zbMATH Keywords

Brill-Noether theorylinear seriesspecial divisorsmoduli space of curves, divisors on the moduli space of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Families, moduli, classification: algebraic theory (14J10) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items

Linear series on a curve of compact type bridged by a chain of elliptic curves, Brill-Noether divisors for even genus, Linear series on a stable curve of compact type and relations among Brill-Noether loci

Cites Work

• Limit linear series: Basic theory
• Existence, decomposition, and limits of certain Weierstrass points
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• A generalized principal ideal theorem with an application to Brill-Noether theory
• The codimension-two homology of the moduli space of stable curves is algebraic
• The geometry of the moduli space of curves of genus 23
• Brill-Noether loci and the gonality stratification of {M_g}
• Irreducibility of some families of linear series with Brill-Noether number. I
• BRILL-NOETHER DIVISORS ON THE MODULI SPACE OF CURVES AND APPLICATIONS