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math.CO2005★ 11 cited
Nested complexes and their polyhedral realizations
Andrei Zelevinsky
This note which can be viewed as a complement to Alex Postnikov's paper math.CO/0507163, presents a self-contained overview of basic properties of nested complexes and their two du…
math.CO2002
Polytopal realizations of generalized associahedra
Frederic Chapoton, Sergey Fomin, Andrei Zelevinsky
In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a ge…
math.CO1998
Recognizing Schubert cells
Sergey Fomin, Andrei Zelevinsky
This paper focuses on the properties of Schubert cells as quasi-projective subvarieties of a generalized flag variety. More specifically, we investigate the problem of distinguishi…