# Varieties with maximum likelihood degree one

@article{Huh2013VarietiesWM,
title={Varieties with maximum likelihood degree one},
author={June Huh},
journal={arXiv: Algebraic Geometry},
year={2013}
}
• June Huh
• Published 12 January 2013
• Mathematics
• arXiv: Algebraic Geometry
We show that algebraic varieties with maximum likelihood degree one are exactly the images of reduced A-discriminantal varieties under monomial maps with finite fibers. The maximum likelihood estimator corresponding to such a variety is Kapranov's Horn uniformization. This extends Kapranov's characterization of A-discriminantal hypersurfaces to varieties of arbitrary codimension.

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