Rational correspondences between moduli spaces of curves defined by Hurwitz spaces

DOI10.1016/j.jpaa.2011.10.017zbMath1244.14009arXiv1105.2383OpenAlexW1991312885MaRDI QIDQ425295

Gerard van der Geer, Alexis Kouvidakis

Publication date: 8 June 2012

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

Full work available at URL: https://arxiv.org/abs/1105.2383

zbMATH Keywords

correspondencesmoduli spaces of curvesHurwitz spaces

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40) Algebraic cycles (14C25)

Cites Work

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• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Curves of genus \(g\) lying on a \(g\)-dimensional Jacobian variety
• Stability of projective varieties
• The Hodge bundle on Hurwitz spaces
• The class of a Hurwitz divisor on the moduli of curves of even genus
• Rational maps between moduli spaces of curves and Gieseker-Petri divisors
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
• The ring of algebraic correspondences on a generic curve of genus g

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