Varieties with maximum likelihood degree one

  title={Varieties with maximum likelihood degree one},
  author={June Huh},
  journal={arXiv: Algebraic Geometry},
  • 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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