Homogeneous Interpolation and Some Continued Fractions

Ivan Petrakiev

Homogeneous Interpolation and Some Continued Fractions

Algebraic Geometry 2012-11-28 v1

Authors: Ivan Petrakiev

Abstract

We prove: if $d/m < 2280/721$ , there is no curve of degree $d$ passing through $n = 10$ general points with multiplicity $m$ in $\bf{P}^2$ . Similar results are given for other special values of $n$ . Our bounds can be naturally written as certain palindromic continued fractions.

Keywords

algebraic curves incidence geometry of points and lines intersection theory on moduli spaces

Cite

@article{arxiv.1211.6380,
  title  = {Homogeneous Interpolation and Some Continued Fractions},
  author = {Ivan Petrakiev},
  journal= {arXiv preprint arXiv:1211.6380},
  year   = {2012}
}

Comments

21 pages, 5 figures

Related papers

View all related →