Irreducible components of quiver Grassmannians
classification
🧮 math.RT
math.AG
keywords
componentsgrassmanniansirreducibleschemesarisingcalculationscrawley-boeveydecomposition
read the original abstract
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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