Normal Bundle of Rational Curves and Waring Decomposition

Details Normal Bundle of Rational Curves and Waring Decomposition Normal Bundle of Rational Curves and Waring Decomposition

2012-03-22

arxiv.org/abs/1203.4955v1

Mathematics

Algebraic Geometry

Scientific paper

The problem to determine the splitting of the normal bundle of rational curves has been considered in the 80s in a series of papers by Ghione and Sacchiero and in another series by Eisenbud and Van de Ven in the case of rational space curves. With our approach we are able to obtain results for curves enbedded in $\bbP^m$ for $m\geq 3$ we find an interesting interplay between the Waring decomposition and the splitting of the normal bundle.

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