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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211187 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | With Wronskian through the Looking Glass. Vassily Gorbounov and Vadim Schechtman. SIGMA 17 (2021), 001, 26 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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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| ISSN: | 1815-0659 |