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arXiv · 1203.4955

Normal Bundle of Rational Curves and Waring Decomposition

Alessandro Bernardi
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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 $\bbP^m$ 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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Alessandro Bernardi. 2013-11-20. Normal Bundle of Rational Curves and Waring Decomposition. https://doi.org/10.1016/j.jalgebra.2013.11.008

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