Gorensteinness for normal tangent cones of elliptic ideals
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909960646950912 |
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| author | Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi |
| author_facet | Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi |
| contents | Let $A$ be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals $I \subset A$ for its normal tangent cone $\overline{G}(I)$ to be Gorenstein. Moreover, we classify all those ideals in a Gorenstein elliptic singularity in the characteristic zero case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_07991 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gorensteinness for normal tangent cones of elliptic ideals Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi Commutative Algebra Algebraic Geometry 13G05, 14J17, 13H10, 14J27 Let $A$ be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals $I \subset A$ for its normal tangent cone $\overline{G}(I)$ to be Gorenstein. Moreover, we classify all those ideals in a Gorenstein elliptic singularity in the characteristic zero case. |
| title | Gorensteinness for normal tangent cones of elliptic ideals |
| topic | Commutative Algebra Algebraic Geometry 13G05, 14J17, 13H10, 14J27 |
| url | https://arxiv.org/abs/2302.07991 |