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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.

preprint2020arXivOpen access
Jenia TevelevTassos Vogiannou
math.AG
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Open access2 authors1 topic
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Jenia TevelevTassos Vogiannou

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