On the quiver Grassmannian in the acyclic case

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dc.creatorCaldero, Philippe
dc.creatorReineke, Markus
dc.date2006-11-03
dc.date2007-02-09
dc.date.accessioned2026-07-07T07:45:34Z
dc.date.available2026-07-07T07:45:34Z
dc.descriptionLet 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.
dc.descriptionMinor corrections. References added
dc.identifierhttps://arxiv.org/abs/math/0611074
dc.identifierhttp://arxiv.org/abs/math/0611074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123570
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subject16G20, 14L30, 16G70
dc.titleOn the quiver Grassmannian in the acyclic case
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