A bound on the dimensions of complete subvarieties of \({\mathcal M}_ g\).

DOI10.1215/S0012-7094-84-05119-6zbMath0581.14017OpenAlexW2095524925MaRDI QIDQ1068145

Steven P. Diaz

Publication date: 1984

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-84-05119-6

zbMATH Keywords

genusHurwitz schemedimension of complete subvariety of the coarse moduli space of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (18)

On complete curves in moduli space I ⋮ On the tautological ring of \(\mathcal{M}_ g\) ⋮ Explicit complete curves in the moduli space of curves of genus three ⋮ Complete curves in the strata of differentials ⋮ The Hurwitz space Picard rank conjecture for \(d > g - 1\) ⋮ Moduli spaces of Riemann surfaces as Hurwitz spaces ⋮ A remark about the rigidity of curves on \(K3\) surfaces ⋮ The Scorza correspondence in genus 3 ⋮ TWO REMARKS ON SUBVARIETIES OF MODULI SPACES ⋮ Orbits of Hurwitz action for coverings of a sphere with two special fibers ⋮ Open problems ⋮ A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces ⋮ Real-Normalized Differentials and the Elliptic Calogero-Moser System ⋮ Unnamed Item ⋮ Codimension 1 Subvarieties of $${\mathcal{M}_g }$$ and Real Gonality of Real Curves ⋮ AFFINE GEOMETRY OF STRATA OF DIFFERENTIALS ⋮ The strata do not contain complete varieties ⋮ Closed families of smooth space curves

Cites Work

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• On the Kodaira dimension of the moduli space of curves
• Hurwitz schemes and irreducibility of moduli of algebraic curves
• Exceptional Weierstrass points and the divisor on moduli space that they define

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