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Fano schemes of generic intersections and machine learning (1301.3078v1)
Published 14 Jan 2013 in math.AG and stat.ML
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.