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On Projective Equivalence of Univariate Polynomial Subspaces
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\mathrm{SL}_2$ 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.
Keywords: polynomial subspaces; projective equivalence. 
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     author = {Peter Crooks and Robert Milson},
     title = {On {Projective} {Equivalence} of {Univariate} {Polynomial} {Subspaces}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2009},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a106/}
}
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Peter Crooks; Robert Milson. On Projective Equivalence of Univariate Polynomial Subspaces. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a106/

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