Limits of saturated ideals
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916625033199616 |
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| author | Jelisiejew, Joachim Mańdziuk, Tomasz |
| author_facet | Jelisiejew, Joachim Mańdziuk, Tomasz |
| contents | We investigate the question whether a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. Our motivation comes from the theory of border apolarity and varieties of sums of powers, where the question above is tightly connected to proving new lower bounds for border ranks of tensors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_13579 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Limits of saturated ideals Jelisiejew, Joachim Mańdziuk, Tomasz Commutative Algebra Algebraic Geometry 14C05 (primary), 13D10, 15A69 (secondary) We investigate the question whether a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. Our motivation comes from the theory of border apolarity and varieties of sums of powers, where the question above is tightly connected to proving new lower bounds for border ranks of tensors. |
| title | Limits of saturated ideals |
| topic | Commutative Algebra Algebraic Geometry 14C05 (primary), 13D10, 15A69 (secondary) |
| url | https://arxiv.org/abs/2210.13579 |