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• W2144483721 abstract "Let A be the path algebra of a quiver Q with no oriented cycle. We study geometric properties of the Grassmannians of submodules of a given A-module M. In particular, we obtain some sufficient conditions for smoothness, polynomial cardinality and we give different approaches to Euler characteristics. Our main result is the positivity of Euler characteristics when M is an exceptional module. This solves a conjecture of Fomin and Zelevinsky for acyclic cluster algebras." @default.
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• W2144483721 date "2008-11-01" @default.
• W2144483721 modified "2023-09-24" @default.
• W2144483721 title "On the quiver Grassmannian in the acyclic case" @default.
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• W2144483721 doi "https://doi.org/10.1016/j.jpaa.2008.03.025" @default.
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