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arxiv: 1609.01166 · v1 · pith:FO5TUFOXnew · submitted 2016-09-05 · 🧮 math.AG · math.CO· math.RT

On toric degenerations of flag varieties

classification 🧮 math.AG math.COmath.RT
keywords varietiesdegenerationsflagtoricalgebraicalgebrasbasesbodies
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Following the historical track in pursuing $T$-equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry and representation theory, such as canonical bases, Newton-Okounkov bodies, PBW-filtrations and cluster algebras come to push the subject forward.

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