Numerical criteria for divisors on to be ample

DOI10.1112/S0010437X09004047zbMath1184.14042arXivmath/0312072MaRDI QIDQ3642513

Angela Gibney

Publication date: 5 November 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312072

zbMATH Keywords

birational geometrymoduli space of curvesMori coneF-conjecture

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (10)

Nonvanishing of conformal blocks divisors on \(\overline{\mathrm{M}}_{0,n} \) ⋮ Blown-up toric surfaces with non-polyhedral effective cone ⋮ Birational contractions of \(\overline{\mathrm{M}}_{0,n}\) and combinatorics of extremal assignments ⋮ An Outline of the Log Minimal Model Program for the Moduli Space of Curves ⋮ Square-tiled surfaces and rigid curves on moduli spaces ⋮ A nonboundary nef divisor on \(\overline{M}_{0,12}\) ⋮ Higher-Level Conformal Blocks Divisors on ⋮ On the \(S_{n}\)-invariant F-conjecture ⋮ Positive divisors on quotients of \(\overline M _{0,n}\) and the Mori cone of \(\overline M_{g,n}\) ⋮ Keel's base point free theorem and quotients in mixed characteristic

Cites Work

• Syzygies of curves and the effective cone of \(\overline{\mathcal M}_g\)
• The geometry of the moduli space of curves of genus 23
• Calculating cohomology groups of moduli spaces of curves via algebraic geometry
• Towards the ample cone of \overline{𝑀}_{𝑔,𝑛}
• The Mori cones of moduli spaces of pointed curves of small genus

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