We present various results about the combinatorial properties of line arrangements in terms of the Chern numbers of the corresponding log surfaces. This resembles the study of the geography of surfaces of general type. We prove some new results about the distribution of Chern slopes, we show a connection between their accumulation points and the accumulation points of linear H-constants on the plane, and we conclude with two open problems in relation to geography over ℚ and over ℂ
The slope variety of a graph G is an algebraic variety whose points correspond to the slopes arising...
AbstractArrangements of curves in the plane are fundamental to many problems in computational and co...
This is the final version, incorporating the suggestions of the referee, to appear in Annales de l'I...
lines con-necting n points in general position in the plane. The ideal In of all algebraic relations...
In this thesis we discuss the enumerative geometry problem of counting lines on projective hypersurf...
For a given arrangement of curves, we prove the existence of smooth projective surfaces with Chern ...
It is well known that not every combinatorial configuration admits a geo-metric realization with poi...
Abstract. We study the geography of Gorenstein stable log surfaces and prove two inequalities for th...
A complex line arrangement is a collection of complex projective lines in \(CP^2\) which may interse...
While the boundary 3-manifold of a line arrangement in the complex plane depends only on the inciden...
Dress A, Koolen JH, Moulton V. On Line Arrangements in the Hyperbolic Plane. European Journal of Com...
This work.develops the foundations of topological graph theory with a unified approach using combin...
This thesis is a compilation of three papers. The Cayley–Salmon theorem implies the existence of a ...
AbstractHomotopy continuation provides a numerical tool for computing the equivalence of a smooth va...
Abstract. This is an introductory article of the study of smoothable stable log surfaces. First we b...
The slope variety of a graph G is an algebraic variety whose points correspond to the slopes arising...
AbstractArrangements of curves in the plane are fundamental to many problems in computational and co...
This is the final version, incorporating the suggestions of the referee, to appear in Annales de l'I...
lines con-necting n points in general position in the plane. The ideal In of all algebraic relations...
In this thesis we discuss the enumerative geometry problem of counting lines on projective hypersurf...
For a given arrangement of curves, we prove the existence of smooth projective surfaces with Chern ...
It is well known that not every combinatorial configuration admits a geo-metric realization with poi...
Abstract. We study the geography of Gorenstein stable log surfaces and prove two inequalities for th...
A complex line arrangement is a collection of complex projective lines in \(CP^2\) which may interse...
While the boundary 3-manifold of a line arrangement in the complex plane depends only on the inciden...
Dress A, Koolen JH, Moulton V. On Line Arrangements in the Hyperbolic Plane. European Journal of Com...
This work.develops the foundations of topological graph theory with a unified approach using combin...
This thesis is a compilation of three papers. The Cayley–Salmon theorem implies the existence of a ...
AbstractHomotopy continuation provides a numerical tool for computing the equivalence of a smooth va...
Abstract. This is an introductory article of the study of smoothable stable log surfaces. First we b...
The slope variety of a graph G is an algebraic variety whose points correspond to the slopes arising...
AbstractArrangements of curves in the plane are fundamental to many problems in computational and co...
This is the final version, incorporating the suggestions of the referee, to appear in Annales de l'I...
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