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arxiv: 1303.4585 · v3 · pith:YSJXHJ37new · submitted 2013-03-19 · 🧮 math.RT · math.AG

Irreducible components of quiver Grassmannians

classification 🧮 math.RT math.AG
keywords componentsgrassmanniansirreducibleschemesarisingcalculationscrawley-boeveydecomposition
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We prove a decomposition theorem for irreducible components of Grassmannians of submodules, as well as for other schemes arising from representation theory, thus generalising the result of Crawley-Boevey and Schroer for module varieties. The method is based on jet space calculations, using that the formation of direct sums induces a separable morphism of schemes.

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