The geometric genus of splice-quotient singularities

By Tomohiro Okuma. 2006

59 citations recorded by the source corpus.

. 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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b1b2b234e33d0b51aa68e6d01643aef852ab168a

Citations in the corpus

• On the Casson Invariant Conjecture of Neumann–Wahl (2006, unknown): “For this case, and under the assumption that v is a node, a p g -formula is established in [20].”