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- W2949279968 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.
- W2949279968 created "2019-06-27" @default.
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- W2949279968 date "2006-11-03" @default.
- W2949279968 modified "2023-09-25" @default.
- W2949279968 title "On the quiver Grassmannian in the acyclic case" @default.
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