paper

Fano schemes of generic intersections and machine learning

arXiv:1301.3078

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.

9 pages, comments very welcome!

Fano schemes of generic intersections and machine learning · wovepaper