SPHERICAL TROPICALIZATION
Copyright policy )SPHERICAL TROPICALIZATION
We extend tropicalization and tropical compactification of subvarieties of algebraic tori to subvarieties of spherical homogeneous spaces. Given a tropical compactification of a subvariety, we show that the support of the colored fan of the ambient spherical variety agrees with the tropicalization of the subvariety. The proof is based on our equivariant version of the attening by blow-up theorem. We provide many examples.
An author added, multiple corrections and improvements. Submitted version, 24 pages
- University of Massachusetts Amherst United States
- University of Massachusetts System United States
Mathematics - Algebraic Geometry, FOS: Mathematics, Compactifications; symmetric and spherical varieties, Geometric aspects of tropical varieties, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, FOS: Mathematics, Compactifications; symmetric and spherical varieties, Geometric aspects of tropical varieties, Algebraic Geometry (math.AG)
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