Good ideals and $p_g$-ideals in two-dimensional normal singularities
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2014
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| _version_ | 1866909960528461824 |
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| author | Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi |
| author_facet | Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi |
| contents | In this paper, we introduce the notion of $p_g$-ideals and $p_g$-cycles, which inherits nice properties of integrally closed ideals on rational singularities. As an application, we prove an existence of good ideals for two-dimensional Gorenstein normal local rings. Moreover, we classify all Ulrich ideals for two-dimensional simple elliptic singularities with small degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1407_1590 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Good ideals and $p_g$-ideals in two-dimensional normal singularities Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi Commutative Algebra Algebraic Geometry 13A35 (Primary), 14B05, 14J17 (Secondary) In this paper, we introduce the notion of $p_g$-ideals and $p_g$-cycles, which inherits nice properties of integrally closed ideals on rational singularities. As an application, we prove an existence of good ideals for two-dimensional Gorenstein normal local rings. Moreover, we classify all Ulrich ideals for two-dimensional simple elliptic singularities with small degree. |
| title | Good ideals and $p_g$-ideals in two-dimensional normal singularities |
| topic | Commutative Algebra Algebraic Geometry 13A35 (Primary), 14B05, 14J17 (Secondary) |
| url | https://arxiv.org/abs/1407.1590 |