The geometric genus of splice-quotient singularities
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2006
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| _version_ | 1866911320242126848 |
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| author | Okuma, Tomohiro |
| author_facet | Okuma, Tomohiro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0610464 |
| institution | arXiv |
| publishDate | 2006 |
| record_format | arxiv |
| spellingShingle | The geometric genus of splice-quotient singularities Okuma, Tomohiro Algebraic Geometry 32S25 (Primary), 14B05 (Secondary) 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. |
| title | The geometric genus of splice-quotient singularities |
| topic | Algebraic Geometry 32S25 (Primary), 14B05 (Secondary) |
| url | https://arxiv.org/abs/math/0610464 |