On the birational geometry of \({\overline{\mathcal M}}_{0,n}(\mathbb P^1,d)\)

DOI10.1007/s00229-004-0497-2zbMath1065.14028OpenAlexW2073752877MaRDI QIDQ706169

Claudio Fontanari, Gilberto Bini

Publication date: 2 February 2005

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

Full work available at URL: https://doi.org/10.1007/s00229-004-0497-2

zbMATH Keywords

Mori theoryextremal raysample coneeffective cone

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

• Integral points and effective cones of moduli spaces of stable maps
• A counterexample to Fulton's conjecture on \(\overline M_{0,n}\).
• On the Kodaira dimension of the moduli space of curves
• Towards the ample cone of \overline{𝑀}_{𝑔,𝑛}
• Connections between the geometry of a projective variety and of an ample section
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
• Intersections of ℚ-divisors on Kontsevich’s moduli space \overline{𝕄}_{0,𝕟}(ℙ^{𝕣},𝕕) and enumerative geometry
• The Canonical Class of $\overline{M}_{0,n}(P^r,d)$ And Enumerative Geometry
• Notes on stable maps and quantum cohomology
• The Mori cones of moduli spaces of pointed curves of small genus
• ON THE COHOMOLOGY OF $\bar{\mathcal M}_{0,n}({\mathbb P}^1,d)$
• The Kodaira dimension of moduli spaces of curves with marked points
• On contractions of extremal rays of Fano manifolds.
• Higher-dimensional algebraic geometry

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