Computing a Saito basis from a standard basis
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914736246882304 |
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| author | Cano, Felipe Corral, Nuria Senovilla-Sanz, David |
| author_facet | Cano, Felipe Corral, Nuria Senovilla-Sanz, David |
| contents | In this paper we describe how to compute a Saito basis of a cusp, a plane curve with only one Puiseux pair. Moreover, the 1-forms of the Saito basis that we compute are characterized in terms of their divisorial orders associated to the "cuspidal" divisor of the minimal reduction of singularities of the cusp. We also introduce a new family of analytic invariants for plane curves computed in terms of Saito bases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00316 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing a Saito basis from a standard basis Cano, Felipe Corral, Nuria Senovilla-Sanz, David Algebraic Geometry 14H20, 14H15, 32S65, 32S15, 32S05 In this paper we describe how to compute a Saito basis of a cusp, a plane curve with only one Puiseux pair. Moreover, the 1-forms of the Saito basis that we compute are characterized in terms of their divisorial orders associated to the "cuspidal" divisor of the minimal reduction of singularities of the cusp. We also introduce a new family of analytic invariants for plane curves computed in terms of Saito bases. |
| title | Computing a Saito basis from a standard basis |
| topic | Algebraic Geometry 14H20, 14H15, 32S65, 32S15, 32S05 |
| url | https://arxiv.org/abs/2404.00316 |