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A note on P-resolutions of cyclic quotient singularities

Ludwig Balke
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Abstract

P-resolutions of a cyclic quotient singularity are known to be in one-to-one correspondence with the components of the base space of its semi-universal deformation. Stevens and Christophersen have shown that P-resolutions are parametrized by so-called chains representing zero or, equivalently, certain subdivisions of polygons. I give here a purely combinatorial proof of the correspondence between subdivisions of polygons and P-resolutions.

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Ludwig Balke. 1997-03-19. A note on P-resolutions of cyclic quotient singularities. https://arxiv.org/abs/alg-geom/9703024

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