Geometry of splice-quotient singularities

Details Geometry of splice-quotient singularities Geometry of splice-quotient singularities

2008-12-23

arxiv.org/abs/0812.4403v1

Mathematics

Algebraic Geometry

17 pages, 2 figures, bad line breakings with dvips because hyperlinked texts are not broken

Scientific paper

We obtain a new important basic result on splice-quotient singularities in an elegant combinatorial-geometric way: every level of the divisorial filtration of the ring of functions is generated by monomials of the defining coordinate functions. The elegant way is the language of of line bundles based on Okuma's description of the function ring of the universal abelian cover. As an easy application, we obtain a new proof of the End Curve Theorem of Neumann and Wahl.

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