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math.AG2005★ 9 cited
Degenerations of del Pezzo surfaces I
Paul Hacking, Yuri Prokhorov
Let X be a surface with quotient singularities which admits a smoothing to the plane. We prove that X is a deformation of a weighted projective plane P(a^2,b^2,c^2), where a,b,c is…
math.AG2003★ 14 cited
Compact moduli of hyperplane arrangements
Paul Hacking
The minimal model program suggests a compactification of the moduli space of hyperplane arrangements which is a moduli space of stable pairs. Here, a stable pair consists of a sche…
math.AG2001
A Compactification of the Space of Plane Curves
Paul Hacking
We define a geometrically meaningful compactification of the moduli space of smooth plane curves, which can be calculated explicitly. The basic idea is to regard a plane curve D in…