|
|||||
|
|
The geometric genus of splice-quotient singularities |
|
| Authors: | Tomohiro Okuma |
| Institution: | Department of Education, Yamagata University, Yamagata 990-8560, Japan |
| 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. |
| Keywords: | Surface singularity geometric genus rational homology sphere splice type singularity universal abelian cover |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |