The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911694689665024 |
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| author | Mahaman, Myriam |
| author_facet | Mahaman, Myriam |
| contents | In a previous article, we showed that local projectivity is a sufficient condition for the existence of a bialgebroid structure on the ring of differential operators on an affine variety. In this note, we show using elementary methods that the ring of differential operators on a nodal curve is neither locally projective nor does it admit a bialgebroid structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18568 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid Mahaman, Myriam Quantum Algebra Commutative Algebra Rings and Algebras 16S32, 16T15 In a previous article, we showed that local projectivity is a sufficient condition for the existence of a bialgebroid structure on the ring of differential operators on an affine variety. In this note, we show using elementary methods that the ring of differential operators on a nodal curve is neither locally projective nor does it admit a bialgebroid structure. |
| title | The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid |
| topic | Quantum Algebra Commutative Algebra Rings and Algebras 16S32, 16T15 |
| url | https://arxiv.org/abs/2605.18568 |