Rational maps between moduli spaces of curves and Gieseker-Petri divisors

DOI10.1090/S1056-3911-09-00510-4zbMath1210.14029arXiv0708.4188OpenAlexW1966914798MaRDI QIDQ3558024

Gavril Farkas

Publication date: 29 April 2010

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4188

zbMATH Keywords

birational geometrymoduli space of curvesslopePrym curvesBrill--Noether locusGieseker--Petri locusmoving effective divisors

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Rational and birational maps (14E05) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (8)

A codimension 2 component of the Gieseker-Petri locus ⋮ Rational correspondences between moduli spaces of curves defined by Hurwitz spaces ⋮ Genera of Brill-Noether curves and staircase paths in Young tableaux ⋮ The Gieseker-Petri divisor in \({\mathcal{M}_g}\) for \(g \leq 13\) ⋮ Petri map for vector bundles near good bundles ⋮ Invariants of the Brill-Noether curve ⋮ A note on the Petri loci ⋮ Remarks on the Gieseker-Petri divisor in genus eight

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simpler proof of the Gieseker-Petri theorem on special divisors
• The structure of the Prym map
• 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
• Stable curves and special divisors: Petri's conjecture
• Limit linear series: Basic theory
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
• Prym varieties and Schottky problem
• Moduli of Prym curves
• Log minimal model program for the moduli space of stable curves of genus three
• Generic Torelli for \(W_ d^ r\)
• Gaussian maps on algebraic curves
• Compactifying the relative Jacobian over families of reduced curves
• A few remarks about the variety of irreducible plane curves of given degree and genus
• Koszul divisors on moduli spaces of curves
• Exceptional Weierstrass points and the divisor on moduli space that they define
• The fibers of the Prym map
• ON THE SLOPES OF THE MODULI SPACES OF CURVES
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• Gaussian maps, Gieseker-Petri loci and large theta-characteristics
• Curves and Symmetric Spaces, I
• Mori dream spaces and GIT.

This page was built for publication: Rational maps between moduli spaces of curves and Gieseker-Petri divisors