Moment Maps, Strict Linear Precision, and Maximum Likelihood Degree One
Algebraic Geometry
2020-04-07 v2 Symplectic Geometry
Abstract
We study the moment maps of a smooth projective toric variety. In particular, we characterize when the moment map coming from the quotient construction is equal to a weighted Fubini-Study moment map. This leads to an investigation into polytopes with strict linear precision, and in the process we use results from and find remarkable connections between Symplectic Geometry, Geometric Modeling, Algebraic Statistics, and Algebraic Geometry.
Keywords
Cite
@article{arxiv.1810.03672,
title = {Moment Maps, Strict Linear Precision, and Maximum Likelihood Degree One},
author = {Patrick Clarke and David A. Cox},
journal= {arXiv preprint arXiv:1810.03672},
year = {2020}
}
Comments
40 pages, latex. This revision fixes minor typos and updates two references