English

Characteristic 2 approach to bivariate interpolation problems

Algebraic Geometry 2007-08-28 v1 Numerical Analysis

Abstract

We investigate bivariate interpolation problems in characteristic 2. Given a nonnegative integer tt, we describe all the sub-linear systems generated by monomials, in which there is no curve passing through a general point with multiplicity at least 2t2^t. As an application, we show that a certain linear system of plane curves with 10 base points is non-special.

Keywords

Cite

@article{arxiv.0708.3514,
  title  = {Characteristic 2 approach to bivariate interpolation problems},
  author = {Kyungyong Lee},
  journal= {arXiv preprint arXiv:0708.3514},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-06-21T09:10:45.213Z