Semigroup Graded Stillman's Conjecture
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912321625915392 |
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| author | Cobb, John Gallup, Nathaniel Spoerl, John |
| author_facet | Cobb, John Gallup, Nathaniel Spoerl, John |
| contents | We resolve Stillman's conjecture for families of polynomial rings that are graded by any semigroup under mild conditions. Conversely, we show that these conditions are necessary for the existence of a Stillman bound. This has applications even for the well-known standard graded case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09593 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semigroup Graded Stillman's Conjecture Cobb, John Gallup, Nathaniel Spoerl, John Commutative Algebra 13A02, 13D02 We resolve Stillman's conjecture for families of polynomial rings that are graded by any semigroup under mild conditions. Conversely, we show that these conditions are necessary for the existence of a Stillman bound. This has applications even for the well-known standard graded case. |
| title | Semigroup Graded Stillman's Conjecture |
| topic | Commutative Algebra 13A02, 13D02 |
| url | https://arxiv.org/abs/2406.09593 |