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Normal Bundle of Rational Curves and Waring Decomposition
Published 22 Mar 2012 in math.AG | (1203.4955v4)
Abstract: The problem of determining the splitting of the normal bundle of rational space curves has been considered in the 80s in a series of papers by Ghione and Sacchiero and by Eisenbud and Van de Ven. With our approach we are able to obtain results for curves embedded in $\bbPm$ for $m\geq 3$ and we find an interesting interplay between the Waring decomposition of binary forms and the splitting of the normal bundle.
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