116 citations · 459 across the 20 of their papers we have counts for
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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.AG2005★ 1 cited
The moduli space of curves is rigid
Paul Hacking
We prove that the moduli stack of stable curves of genus g with n marked points is rigid, i.e., has no infinitesimal deformations. This confirms the first case of a principle propo…
math.AG2005★ 3 cited
Compactification of the moduli space of hyperplane arrangements
Paul Hacking, Sean Keel, Jenia Tevelev
Consider the moduli space M^0 of arrangements of n hyperplanes in general position in projective (r-1)-space. When r=2 the space has a compactification given by the moduli space of…