With Wronskian through the Looking Glass
In the work of Mukhin and Varchenko from 2002, a Wronskian map was introduced from the variety of full flags in a finite-dimensional vector space into a product of projective spaces. We establish a precise relationship between this map and the Plücker map. This allows us to recover the result of Var...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2021 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211187 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | With Wronskian through the Looking Glass. Vassily Gorbounov and Vadim Schechtman. SIGMA 17 (2021), 001, 26 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862709903480586240 |
|---|---|
| author | Gorbounov, Vassily Schechtman, Vadim |
| author_facet | Gorbounov, Vassily Schechtman, Vadim |
| citation_txt | With Wronskian through the Looking Glass. Vassily Gorbounov and Vadim Schechtman. SIGMA 17 (2021), 001, 26 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In the work of Mukhin and Varchenko from 2002, a Wronskian map was introduced from the variety of full flags in a finite-dimensional vector space into a product of projective spaces. We establish a precise relationship between this map and the Plücker map. This allows us to recover the result of Varchenko and Wright, saying that the polynomials appearing in the image of the Wronsky map are the initial values of the tau-functions for the Kadomtsev-Petviashvili hierarchy.
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| first_indexed | 2026-03-19T10:56:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211187 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T10:56:30Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gorbounov, Vassily Schechtman, Vadim 2025-12-25T13:25:58Z 2021 With Wronskian through the Looking Glass. Vassily Gorbounov and Vadim Schechtman. SIGMA 17 (2021), 001, 26 pages 1815-0659 2020 Mathematics Subject Classification: 37K20; 81R10; 35C08 arXiv:2007.04045 https://nasplib.isofts.kiev.ua/handle/123456789/211187 https://doi.org/10.3842/SIGMA.2021.001 In the work of Mukhin and Varchenko from 2002, a Wronskian map was introduced from the variety of full flags in a finite-dimensional vector space into a product of projective spaces. We establish a precise relationship between this map and the Plücker map. This allows us to recover the result of Varchenko and Wright, saying that the polynomials appearing in the image of the Wronsky map are the initial values of the tau-functions for the Kadomtsev-Petviashvili hierarchy. We are grateful to A. Kuznetsov for a useful discussion, to V. Kac for sending us the paper [7], and to anonymous referees for correcting some inaccuracies and drawing our attention to [4]. V.G. has been partially supported by the HSE University Basic Research Program, Russian Academic Excellence Project 5-100, and by the RSF Grant No. 20-61-46005. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications With Wronskian through the Looking Glass Article published earlier |
| spellingShingle | With Wronskian through the Looking Glass Gorbounov, Vassily Schechtman, Vadim |
| title | With Wronskian through the Looking Glass |
| title_full | With Wronskian through the Looking Glass |
| title_fullStr | With Wronskian through the Looking Glass |
| title_full_unstemmed | With Wronskian through the Looking Glass |
| title_short | With Wronskian through the Looking Glass |
| title_sort | with wronskian through the looking glass |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211187 |
| work_keys_str_mv | AT gorbounovvassily withwronskianthroughthelookingglass AT schechtmanvadim withwronskianthroughthelookingglass |