Degenerations of del Pezzo surfaces I
Algebraic Geometry
2007-05-23 v1
Abstract
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 a solution of the Markov equation a^2+b^2+c^2=3abc. We also prove a generalisation for del Pezzo surfaces of degree K^2 at least 5.
Keywords
Cite
@article{arxiv.math/0509529,
title = {Degenerations of del Pezzo surfaces I},
author = {Paul Hacking and Yuri Prokhorov},
journal= {arXiv preprint arXiv:math/0509529},
year = {2007}
}
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14 pages