Arrangements of curves and algebraic surfaces

DOI10.1090/S1056-3911-09-00520-7zbMath1192.14033arXiv0711.0765MaRDI QIDQ3558026

Giancarlo Urzúa

Publication date: 29 April 2010

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0765

zbMATH Keywords

arrangements of curvesSurfacesChern ratiolog Chern ratio

Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14J99) Surfaces of general type (14J29)

Related Items (29)

On the geography of line arrangements ⋮ Dedekind sums with even denominators ⋮ Numerical adjunction formulas for weighted projective planes and lattice point counting ⋮ Unnamed Item ⋮ Characterization of Kollár surfaces ⋮ Some open questions about line arrangements in the projective plane ⋮ Multidimensional continued fractions for cyclic quotient singularities and Dedekind sums ⋮ On the fractional parts of Dedekind sums ⋮ Chilean configuration of conics, lines and points ⋮ Conic-line arrangements in the complex projective plane ⋮ Savage surfaces ⋮ Modular factorization of superconformal indices ⋮ On the equality of Dedekind sums ⋮ Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums ⋮ Families of explicit quasi-hyperbolic and hyperbolic surfaces ⋮ Reciprocity laws for Dedekind cotangent sums ⋮ Hirzebruch-type inequalities and plane curve configurations ⋮ Equivalence classes of Latin squares and nets in \(\mathbb{CP}^{2}\) ⋮ Arrangements of rational sections over curves and the varieties they define ⋮ Dedekind sums take each value infinitely many times ⋮ Classification and arithmeticity of toroidal compactifications with \(3\overline{c}_2=\overline{c}_1^2=3\) ⋮ Hirzebruch–Kummer covers of algebraic surfaces ⋮ On Dedekind sums with equal values ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums ⋮ Line arrangements and configurations of points with an unexpected geometric property ⋮ A note on Harris Morrison sweeping families ⋮ A homological criterion for the containment between symbolic and ordinary powers of some ideals of points in \(\mathbb{P}^2\) ⋮ Chern slopes of simply connected complex surfaces of general type are dense in [2,3] ⋮ The largest values of Dedekind sums

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