The geometric genus of splice-quotient singularities

Details The geometric genus of splice-quotient singularities The geometric genus of splice-quotient singularities

2006-10-16

arxiv.org/abs/math/0610464v2

Mathematics

Algebraic Geometry

Two examples have been added. 17 pages. To appear in Trans. Amer. Math. Soc

Scientific paper

We prove a formula for the geometric genus of splice-quotient singularities (in the sense of Neumann and Wahl). This formula enables us to compute the invariant from the resolution graph; in fact, it reduces the computation to that for splice-quotient singularities with smaller resolution graphs. We also discuss the dimension of the first cohomology groups of certain invertible sheaves on a resolution of a splice-quotient singularity.

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