Symbolic Rees algebras of space monomial primes of degree 5
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912840559886336 |
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| author | Kurano, Kazuhiko |
| author_facet | Kurano, Kazuhiko |
| contents | Let K be a field of characteristic 0. Let P_K(5,103,169) be the defining ideal of the space monomial curve {(t^5,t^{103},t^{169})}. In this paper we shall prove that the symbolic Rees algebra R_s(P_K(5,103,169)) is not Noetherian, that is, is not finitely generated over K. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15692 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symbolic Rees algebras of space monomial primes of degree 5 Kurano, Kazuhiko Commutative Algebra Algebraic Geometry 13A30, 14E99 Let K be a field of characteristic 0. Let P_K(5,103,169) be the defining ideal of the space monomial curve {(t^5,t^{103},t^{169})}. In this paper we shall prove that the symbolic Rees algebra R_s(P_K(5,103,169)) is not Noetherian, that is, is not finitely generated over K. |
| title | Symbolic Rees algebras of space monomial primes of degree 5 |
| topic | Commutative Algebra Algebraic Geometry 13A30, 14E99 |
| url | https://arxiv.org/abs/2601.15692 |