Notes on Non-Generic Isomonodromy Deformations
Some of the main results of [Cotti G., Dubrovin B., Guzzetti D., Duke Math. J., to appear, arXiv:1706.04808], concerning non-generic isomonodromy deformations of a certain linear differential system with irregular singularity and coalescing eigenvalues, are reviewed from the point of view of Pfaffia...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209763 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Notes on Non-Generic Isomonodromy Deformations / D. Guzzetti // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 34 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862650518220832768 |
|---|---|
| author | Guzzetti, D. |
| author_facet | Guzzetti, D. |
| citation_txt | Notes on Non-Generic Isomonodromy Deformations / D. Guzzetti // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 34 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Some of the main results of [Cotti G., Dubrovin B., Guzzetti D., Duke Math. J., to appear, arXiv:1706.04808], concerning non-generic isomonodromy deformations of a certain linear differential system with irregular singularity and coalescing eigenvalues, are reviewed from the point of view of Pfaffian systems, making a distinction between weak and strong isomonodromic deformations. Such a distinction has a counterpart in the case of Fuchsian systems, which are well known as Schlesinger and non-Schlesinger deformations, reviewed in Appendix A.
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| first_indexed | 2025-12-07T14:39:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209763 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T14:39:03Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Guzzetti, D. 2025-11-26T11:23:42Z 2018 Notes on Non-Generic Isomonodromy Deformations / D. Guzzetti // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 34 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 34M56; 34M35; 34M40 arXiv: 1804.05688 https://nasplib.isofts.kiev.ua/handle/123456789/209763 https://doi.org/10.3842/SIGMA.2018.087 Some of the main results of [Cotti G., Dubrovin B., Guzzetti D., Duke Math. J., to appear, arXiv:1706.04808], concerning non-generic isomonodromy deformations of a certain linear differential system with irregular singularity and coalescing eigenvalues, are reviewed from the point of view of Pfaffian systems, making a distinction between weak and strong isomonodromic deformations. Such a distinction has a counterpart in the case of Fuchsian systems, which are well known as Schlesinger and non-Schlesinger deformations, reviewed in Appendix A. I am very grateful to the referee for valuable suggestions which improved the paper, especially concerning the importance of reference [34] for the characterisation of weak and strong isomonodromic deformations. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Notes on Non-Generic Isomonodromy Deformations Article published earlier |
| spellingShingle | Notes on Non-Generic Isomonodromy Deformations Guzzetti, D. |
| title | Notes on Non-Generic Isomonodromy Deformations |
| title_full | Notes on Non-Generic Isomonodromy Deformations |
| title_fullStr | Notes on Non-Generic Isomonodromy Deformations |
| title_full_unstemmed | Notes on Non-Generic Isomonodromy Deformations |
| title_short | Notes on Non-Generic Isomonodromy Deformations |
| title_sort | notes on non-generic isomonodromy deformations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209763 |
| work_keys_str_mv | AT guzzettid notesonnongenericisomonodromydeformations |