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Author ORCID Identifier
N/A
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2016
Month Degree Awarded
September
First Advisor
Jenia Tevelev
Subject Categories
Algebraic Geometry
Abstract
In this thesis, I extend tropicalization of subvarieties of algebraic tori over a trivially valued algebraically closed field to subvarieties of spherical homogeneous spaces. I show the existence of tropical compactifications in a general setting. Given a tropical compactification of a closed subvariety of a spherical homogeneous space, I show that the support of the colored fan of the ambient spherical variety agrees with the tropicalization of the closed subvariety. I provide examples of tropicalization of subvarieties of GL(n), SL(n), and PGL(n).
DOI
https://doi.org/10.7275/8487187.0
Recommended Citation
Vogiannou, Anastasios, "Spherical Tropicalization" (2016). Doctoral Dissertations. 811.
https://doi.org/10.7275/8487187.0
https://scholarworks.umass.edu/dissertations_2/811