Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909687909187584 |
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| author | Dimca, Alexandru Sticlaru, Gabriel |
| author_facet | Dimca, Alexandru Sticlaru, Gabriel |
| contents | Two properties of projective hypersurfaces related to the module of Jacobian derivations, namely being tame and being plus-one generated, are discussed in this paper. Tame hypersurfaces are related to Bourbaki ideals, and free hypersurfaces are the simplest examples of tame hypersurfaces. Plus-one generated hypersurfaces are the non free hypersurfaces which are closest to the free ones, and it is an open question whether all of them are tame. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces Dimca, Alexandru Sticlaru, Gabriel Algebraic Geometry Two properties of projective hypersurfaces related to the module of Jacobian derivations, namely being tame and being plus-one generated, are discussed in this paper. Tame hypersurfaces are related to Bourbaki ideals, and free hypersurfaces are the simplest examples of tame hypersurfaces. Plus-one generated hypersurfaces are the non free hypersurfaces which are closest to the free ones, and it is an open question whether all of them are tame. |
| title | Bourbaki modules and the module of Jacobian derivations of projective hypersurfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.23950 |