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Journal article
Moment maps, strict linear precision, and maximum likelihood degree one
Advances in mathematics (New York. 1965), v 370, 107233
26 Aug 2020
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.
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Details
- Title
- Moment maps, strict linear precision, and maximum likelihood degree one
- Creators
- Patrick Clarke - Drexel UniversityDavid A. Cox - Amherst College
- Publication Details
- Advances in mathematics (New York. 1965), v 370, 107233
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000540829800019
- Scopus ID
- 2-s2.0-85085342800
- Other Identifier
- 991019167878104721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics