With Wronskian through the Looking Glass

V. Gorbounov, V. 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 Plucker 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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《朗斯基镜中奇遇
在2002年Mukhin和Varchenko的工作中,引入了一个朗斯基映射,从有限维向量空间中的各种满旗到投影空间的乘积。我们建立了这个地图和Plucker地图之间的精确关系。这允许我们恢复Varchenko和Wright的结果,他们说在Wronsky图的图像中出现的多项式是Kadomtsev-Petviashvili层次结构的tau函数的初始值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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