ar X iv : 0 90 2 . 11 06 v 3 [ m at h . Q A ] 5 J un 2 00 9 ON PROJECTIVE EQUIVALENCE OF UNIVARIATE
نویسنده
چکیده
We pose and solve the equivalence problem for subspaces of Pn, the (n + 1) dimensional vector space of univariate polynomials of degree ≤ n. The group of interest is SL2 acting by projective transformations on the Grassmannian variety GkPn 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.
منابع مشابه
ar X iv : 0 90 2 . 11 06 v 2 [ m at h . Q A ] 2 A pr 2 00 9 ON PROJECTIVE EQUIVALENCE OF UNIVARIATE
We pose and solve the equivalence problem for subspaces of Pn, the n + 1 dimensional vector space of univariate polynomials of degree ≤ n. The group of interest is PSL2 acting by projective transformations on the grassmannian variety GkPn 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 pr...
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تاریخ انتشار 2009