Baker-Akhiezer Modules on Rational Varieties
The free Baker-Akhiezer modules on rational varieties obtained from CP¹×CPⁿ⁻¹ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ring with some fixed pole into the ring of matrix differential operators in n...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146340 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Baker-Akhiezer Modules on Rational Varieties / I.A. Melnik, A.E. Mironov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708533602025472 |
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| author | Melnik, I.A. Mironov, A.E. |
| author_facet | Melnik, I.A. Mironov, A.E. |
| citation_txt | Baker-Akhiezer Modules on Rational Varieties / I.A. Melnik, A.E. Mironov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The free Baker-Akhiezer modules on rational varieties obtained from CP¹×CPⁿ⁻¹ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ring with some fixed pole into the ring of matrix differential operators in n variables.
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| first_indexed | 2025-12-07T17:11:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146340 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:11:44Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Melnik, I.A. Mironov, A.E. 2019-02-09T08:51:32Z 2019-02-09T08:51:32Z 2010 Baker-Akhiezer Modules on Rational Varieties / I.A. Melnik, A.E. Mironov // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14H70; 35P30 DOI:10.3842/SIGMA.2010.030 https://nasplib.isofts.kiev.ua/handle/123456789/146340 The free Baker-Akhiezer modules on rational varieties obtained from CP¹×CPⁿ⁻¹ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ring with some fixed pole into the ring of matrix differential operators in n variables. The work is supported by the Program of Russian Academy of Sciences “Fundamental Problems of Nonlinear Dynamics”. The second author (A.E.M) is thankful to Atsushi Nakayashiki for the invitations in Kyushu University, useful discussions of our results. The second author is also grateful to Grant-in-Aid for Scientific Research (B) 17340048 for financial support of the visits in Kyushu Universit. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Baker-Akhiezer Modules on Rational Varieties Article published earlier |
| spellingShingle | Baker-Akhiezer Modules on Rational Varieties Melnik, I.A. Mironov, A.E. |
| title | Baker-Akhiezer Modules on Rational Varieties |
| title_full | Baker-Akhiezer Modules on Rational Varieties |
| title_fullStr | Baker-Akhiezer Modules on Rational Varieties |
| title_full_unstemmed | Baker-Akhiezer Modules on Rational Varieties |
| title_short | Baker-Akhiezer Modules on Rational Varieties |
| title_sort | baker-akhiezer modules on rational varieties |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146340 |
| work_keys_str_mv | AT melnikia bakerakhiezermodulesonrationalvarieties AT mironovae bakerakhiezermodulesonrationalvarieties |