ON THE SLOPES OF THE MODULI SPACES OF CURVES

DOI10.1142/S0129167X98000087zbMath0930.14017OpenAlexW2080755720MaRDI QIDQ4219923

Sheng-Li Tan

Publication date: 9 February 2000

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x98000087

zbMATH Keywords

effective divisorslope conjectureHodge line bundleboundary divisorsmoduli space of stable complex curves

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Families, moduli of curves (algebraic) (14H10) Divisors, linear systems, invertible sheaves (14C20)

Related Items

The nonabelian Brill-Noether divisor on \(\overline{\mathcal{M}}_{13}\) and the Kodaira dimension of \(\overline{\mathcal{R}}_{13}\), The universal difference variety over \(\overline{\mathcal M}_g\), Rational maps between moduli spaces of curves and Gieseker-Petri divisors, Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture, Covers of elliptic curves and the moduli space of stable curves, Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves

Cites Work

• Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)
• Slopes of effective divisors on the moduli space of stable curves
• Fibered algebraic surfaces with low slope
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• On Petri's analysis of the linear system of quadrics through a canonical curve
• On the Kodaira dimension of the moduli space of curves
• ON THE LOWER BOUND OF THE SLOPE OF A NON-HYPERELLIPTIC FIBRATION OF GENUS 4