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arXiv · 2007.04045

With Wronskian through the Looking Glass

Vassily Gorbounov·Vadim Schechtman
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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 Pl\"ucker 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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BibTeXRIS

Vassily Gorbounov, Vadim Schechtman. 2020-07-08. With Wronskian through the Looking Glass. https://doi.org/10.3842/sigma.2021.001

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