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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 001, 26 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.001 (Mi sigma1683) 		 
This article is cited in 1 scientific paper (total in 1 paper)

With Wronskian through the Looking Glass

Vassily Gorbounovab, Vadim Schechtmanc

a HSE University, Russia
b Laboratory of Algebraic Geometry and Homological Algebra, Moscow Institute of Physics and Technology, Dolgoprudny, Russia
c Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France
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DOI: https://doi.org/10.3842/SIGMA.2021.001
Abstract: In the work of Mukhin and Varchenko from 2002 there was introduced a Wronskian map 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.
Keywords: MKP hierarchies, critical points, tau-function, Wronskian.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Science Foundation 20-61-46005
HSE Basic Research Program
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.
Received: September 1, 2020; in final form December 27, 2020; Published online January 2, 2021
Bibliographic databases:
Document Type: Article
MSC: 37K20, 81R10, 35C08
Language: English
Citation: Vassily Gorbounov, Vadim Schechtman, “With Wronskian through the Looking Glass”, SIGMA, 17 (2021), 001, 26 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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