The variety of polar simplices II
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909162535911424 |
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| author | Jelisiejew, Joachim Ranestad, Kristian Schreyer, Frank-Olaf |
| author_facet | Jelisiejew, Joachim Ranestad, Kristian Schreyer, Frank-Olaf |
| contents | We discuss the space $VPS(Q,H)$ of ideals with Hilbert function $H=(1,n,n, \ldots)$ that are apolar to a full rank quadric $Q$. We prove that its components of saturated ideals are closely related to the locus of Gorenstein algebras and to the Slip component in border apolarity. We also point out an important error in~[RS] and provide the necessary corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00533 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The variety of polar simplices II Jelisiejew, Joachim Ranestad, Kristian Schreyer, Frank-Olaf Algebraic Geometry Commutative Algebra 14C05, 14J45 We discuss the space $VPS(Q,H)$ of ideals with Hilbert function $H=(1,n,n, \ldots)$ that are apolar to a full rank quadric $Q$. We prove that its components of saturated ideals are closely related to the locus of Gorenstein algebras and to the Slip component in border apolarity. We also point out an important error in~[RS] and provide the necessary corrections. |
| title | The variety of polar simplices II |
| topic | Algebraic Geometry Commutative Algebra 14C05, 14J45 |
| url | https://arxiv.org/abs/2304.00533 |