Intersection Theory on Abelian-Quotient $V$-Surfaces and $\mathbf{Q}$-Resolutions

Details Intersection Theory on Abelian-Quotient $V$-Surfaces and $\mathbf{Q}$-Resolutions Intersection Theory on Abelian-Quotient $V$-Surfaces and $\mathbf{Q}$-Resolutions

2011-05-06

arxiv.org/abs/1105.1321v1

Mathematics

Algebraic Geometry

31 pages, 11 figures

Scientific paper

In this paper we study the intersection theory on surfaces with abelian
quotient singularities and we derive properties of quotients of weighted
projective planes. We also use this theory to study weighted blow-ups in order
to construct embedded $\mathbf{Q}$-resolutions of plane curve singularities and
abstract $\mathbf{Q}$-resolutions of surfaces.

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