Rees algebras and $p_g$-ideals in a two-dimensional normal local domain
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2015
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908709291032576 |
|---|---|
| author | Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi |
| author_facet | Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi |
| contents | The authors introduced the notion of $p_g$-ideals for two-dimensional excellent normal local domain over an algebraicaly closed field in terms of resolution of singularities. In this note, we give several ring-theoretic characterization of $p_g$-ideals. For instance, an $m$-primary ideal $I \subset A$ is a $p_g$-ideal if and only if the Rees alegbra $\mathcal{R}(I)$ is a Cohen-Macaulay normal domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1511_00827 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Rees algebras and $p_g$-ideals in a two-dimensional normal local domain Okuma, Tomohiro Watanabe, Kei-ichi Yoshida, Ken-ichi Commutative Algebra Algebraic Geometry Primary 13B22, Secondary 13A30, 14B05 The authors introduced the notion of $p_g$-ideals for two-dimensional excellent normal local domain over an algebraicaly closed field in terms of resolution of singularities. In this note, we give several ring-theoretic characterization of $p_g$-ideals. For instance, an $m$-primary ideal $I \subset A$ is a $p_g$-ideal if and only if the Rees alegbra $\mathcal{R}(I)$ is a Cohen-Macaulay normal domain. |
| title | Rees algebras and $p_g$-ideals in a two-dimensional normal local domain |
| topic | Commutative Algebra Algebraic Geometry Primary 13B22, Secondary 13A30, 14B05 |
| url | https://arxiv.org/abs/1511.00827 |