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The geometric genus of splice-quotient singularities

Tomohiro Okuma
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Abstract

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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Tomohiro Okuma. 2006-10-16. The geometric genus of splice-quotient singularities. https://doi.org/10.1090/s0002-9947-08-04559-5

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