Normal forms for ordinary differential operators, III
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918404875616256 |
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| author | Guo, Junhu Zheglov, A. B. |
| author_facet | Guo, Junhu Zheglov, A. B. |
| contents | In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the explicit parametrisation of torsion free rank one sheaves on projective irreducible curves with vanishing cohomology groups obtained earlier to analogous parametrisation of torsion free sheaves of arbitrary rank with vanishing cohomology groups on projective irreducible curves.
As an illustration of our theorem we calculate one explicit example of such parametrisation, namely for rank two sheaves on a Weierstrass cubic curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal forms for ordinary differential operators, III Guo, Junhu Zheglov, A. B. Algebraic Geometry Mathematical Physics Quantum Algebra Rings and Algebras In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the explicit parametrisation of torsion free rank one sheaves on projective irreducible curves with vanishing cohomology groups obtained earlier to analogous parametrisation of torsion free sheaves of arbitrary rank with vanishing cohomology groups on projective irreducible curves. As an illustration of our theorem we calculate one explicit example of such parametrisation, namely for rank two sheaves on a Weierstrass cubic curve. |
| title | Normal forms for ordinary differential operators, III |
| topic | Algebraic Geometry Mathematical Physics Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2506.19799 |