Cohomology of ideals in elliptic surface singularities
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866915673368690688 |
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| author | Okuma, Tomohiro |
| author_facet | Okuma, Tomohiro |
| contents | We introduce the the normal reduction number of two-dimensional normal singularities and prove that elliptic singularity has normal reduction number two. We also prove that for a two-dimensional normal singularity which is not rational, it is Gorenstein and its maximal ideal is a $p_g$-ideal if and only if it is a maximally elliptic singularity of degree $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_07558 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Cohomology of ideals in elliptic surface singularities Okuma, Tomohiro Algebraic Geometry Primary 14J17, Secondary 14B05 We introduce the the normal reduction number of two-dimensional normal singularities and prove that elliptic singularity has normal reduction number two. We also prove that for a two-dimensional normal singularity which is not rational, it is Gorenstein and its maximal ideal is a $p_g$-ideal if and only if it is a maximally elliptic singularity of degree $1$. |
| title | Cohomology of ideals in elliptic surface singularities |
| topic | Algebraic Geometry Primary 14J17, Secondary 14B05 |
| url | https://arxiv.org/abs/1804.07558 |