English

Normal Bundle of Rational Curves and Waring Decomposition

Algebraic Geometry 2015-01-20 v4

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\bbP^m for m3m\geq 3 and we find an interesting interplay between the Waring decomposition of binary forms and the splitting of the normal bundle.

Cite

@article{arxiv.1203.4955,
  title  = {Normal Bundle of Rational Curves and Waring Decomposition},
  author = {Alessandro Bernardi},
  journal= {arXiv preprint arXiv:1203.4955},
  year   = {2015}
}
R2 v1 2026-06-21T20:38:17.892Z