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arXiv · 0902.1106

On Projective Equivalence of Univariate Polynomial Subspaces

Peter Crooks·Robert Milson
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Abstract

We pose and solve the equivalence problem for subspaces of ${\mathcal P}_n$, the $(n+1)$ dimensional vector space of univariate polynomials of degree $\leq n$. The group of interest is ${\rm SL}_2$ acting by projective transformations on the Grassmannian variety ${\mathcal G}_k{\mathcal P}_n$ of $k$-dimensional subspaces. We establish the equivariance of the Wronski map and use this map to reduce the subspace equivalence problem to the equivalence problem for binary forms.

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BibTeXRIS

Peter Crooks, Robert Milson. 2009-12-06. On Projective Equivalence of Univariate Polynomial Subspaces. https://doi.org/10.3842/sigma.2009.107

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