English

Fano schemes of generic intersections and machine learning

Algebraic Geometry 2013-01-15 v1 Machine Learning

Abstract

We investigate Fano schemes of conditionally generic intersections, i.e. of hypersurfaces in projective space chosen generically up to additional conditions. Via a correspondence between generic properties of algebraic varieties and events in probability spaces that occur with probability one, we use the obtained results on Fano schemes to solve a problem in machine learning.

Keywords

Cite

@article{arxiv.1301.3078,
  title  = {Fano schemes of generic intersections and machine learning},
  author = {Franz Király and Paul Larsen},
  journal= {arXiv preprint arXiv:1301.3078},
  year   = {2013}
}

Comments

9 pages, comments very welcome!

R2 v1 2026-06-21T23:09:06.558Z