Pencils on Surfaces with Normal Crossings and the Kodaira Dimension of

DOI10.1017/fms.2021.28zbMath1462.14030arXiv2008.12826OpenAlexW3155573630MaRDI QIDQ4988395

Daniele Agostini, Ignacio Barros

Publication date: 14 May 2021

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12826

zbMATH Keywords

Kodaira dimensionmoduli space of hyperelliptic curvesmoduli space of pointed curvesunirulness

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Families, moduli of curves (algebraic) (14H10) Special algebraic curves and curves of low genus (14H45)

Related Items (2)

On the unirationality of moduli spaces of pointed curves ⋮ The nonabelian Brill-Noether divisor on \(\overline{\mathcal{M}}_{13}\) and the Kodaira dimension of \(\overline{\mathcal{R}}_{13}\)

Uses Software

• Macaulay2
• KoszulDivisorOnPic14M8

Cites Work

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• The classification of universal Jacobians over the moduli space of curves
• Uniruledness of some moduli spaces of stable pointed curves
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• Global smoothings of varieties with normal crossings
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• Limit linear series: Basic theory
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• The Kodaira dimension of the moduli space of curves of genus 15
• On the slope and Kodaira dimension of \(\overline M_ g\) for small \(g\)
• On the Kodaira dimension of the moduli space of curves
• The unirationality of the Hurwitz schemes \(\mathcal H_{10, 8}\) and \(\mathcal H_{13, 7}\)
• Compact moduli spaces of surfaces of general type
• Geometry of Algebraic Curves
• The unirationality of the moduli spaces of curves of genus 14 or lower
• Deformations of Algebraic Schemes
• Koszul divisors on moduli spaces of curves
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• The Kodaira dimension of moduli spaces of curves with marked points
• k—Very Ample Line Bundles on Del Pezzo Surfaces
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Foundations of Grothendieck Duality for Diagrams of Schemes

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