Chern slopes of simply connected complex surfaces of general type are dense in [2,3]

DOI10.4007/annals.2015.182.1.6zbMath1346.14097arXiv1402.5801OpenAlexW2963512398MaRDI QIDQ2352910

Xavier Roulleau, Giancarlo Urzúa

Publication date: 6 July 2015

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5801

zbMATH Keywords

spin 4-manifoldssurfaces of general typegeographyarrangements of curvessimply connected complex surfaces

Mathematics Subject Classification ID

Surfaces of general type (14J29) Moduli, classification: analytic theory; relations with modular forms (14J15) Special surfaces (14J25)

Related Items (12)

On the geography of simply connected nonspin symplectic 4-manifolds with nonnegative signature ⋮ Curves with low Harbourne constants on Kummer and abelian surfaces ⋮ Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ Some open questions about line arrangements in the projective plane ⋮ The Halphen cubics of order two ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Savage surfaces ⋮ On the Bounded Negativity Conjecture and singular plane curves ⋮ Harbourne constants and conic configurations on the projective plane ⋮ The Slope of Surfaces with Albanese Dimension One ⋮ Relative Clifford inequality for varieties fibered by curves ⋮ Complements to Ample Divisors and Singularities

Cites Work

• Simply-connected algebraic surfaces of positive index
• Arrangements of rational sections over curves and the varieties they define
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• On the geography of surfaces - simply connected minimal surfaces with positive index
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• Geography of spin surfaces
• Chern Numbers of Algebraic Surfaces — Hirzebruch's Examples are Picard Modular Surfaces
• Arrangements of curves and algebraic surfaces
• HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
• π₁ OF ELLIPTIC AND HYPERELLIPTIC SURFACES
• Calabi's conjecture and some new results in algebraic geometry
• On the Chern numbers of surfaces of general type
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