Higher Jacobian matrix of weighted homogeneous polynomials and derivation algebras
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911075403825152 |
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| author | Badilla-Céspedes, Wágner Castorena, Abel Duarte, Daniel |
| author_facet | Badilla-Céspedes, Wágner Castorena, Abel Duarte, Daniel |
| contents | We prove that the ideal generated by the maximal minors of the higher-order Jacobian matrix of a weighted homogeneous polynomial is also weighted homogeneous. As an application, we give a partial answer to a conjecture concerning the non-existence of negative weight derivations on the higher Nash blowup local algebra of a hypersurface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04677 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher Jacobian matrix of weighted homogeneous polynomials and derivation algebras Badilla-Céspedes, Wágner Castorena, Abel Duarte, Daniel Algebraic Geometry Commutative Algebra 14B05, 32S05, 13N15 We prove that the ideal generated by the maximal minors of the higher-order Jacobian matrix of a weighted homogeneous polynomial is also weighted homogeneous. As an application, we give a partial answer to a conjecture concerning the non-existence of negative weight derivations on the higher Nash blowup local algebra of a hypersurface. |
| title | Higher Jacobian matrix of weighted homogeneous polynomials and derivation algebras |
| topic | Algebraic Geometry Commutative Algebra 14B05, 32S05, 13N15 |
| url | https://arxiv.org/abs/2312.04677 |