论文标题
与弗朗斯基人穿过镜头
With Wronskian through the Looking Glass
论文作者
论文摘要
在2002年的Mukhin和Varchenko的工作中,从有限的维矢量空间中的各种完整标志中引入了Wronskian地图,以介绍了投影空间的产物。我们在此地图和Plücker地图之间建立了一个精确的关系。这使我们能够恢复Varchenko和Wright的结果,说出现在Wronsky地图图像中的多项式是Kadomtsev-Petviashvili层次结构的Tau-函数的初始值。
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.