English

Varieties of Sums of Powers for binary forms

Algebraic Geometry 2007-05-23 v1

Abstract

The problem of simultaneous decomposition of binary forms as sums of powers of linear forms is studied. For generic forms the minimal number of linear forms needed is found and the space parametrizing all the possible decompositions is described. These results are applied to the study of rational curves.

Keywords

Cite

@article{arxiv.math/0202050,
  title  = {Varieties of Sums of Powers for binary forms},
  author = {E. Carlini},
  journal= {arXiv preprint arXiv:math/0202050},
  year   = {2007}
}

Comments

corrected typos

R2 v1 2026-07-22T16:43:08.108Z