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Three lectures on quiver Grassmannians
Giovanni Cerulli Irelli
This paper contains the material discussed in the series of three lectures that I gave during the workshop of the ICRA 2018 in Prague. I will introduce the reader to some of the te…
Cell decompositions and algebraicity of cohomology for quiver Grassmannians
Giovanni Cerulli Irelli, Francesco Esposito, Hans Franzen +1
We show that the cohomology ring of a quiver Grassmannian asssociated with a rigid quiver representation has property (S): there is no odd cohomology and the cycle map is an isomor…
Homological approach to the Hernandez-Leclerc construction and quiver varieties
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
In a previous paper the authors have attached to each Dynkin quiver an associative algebra. The definition is categorical and the algebra is used to construct desingularizations of…
Desingularization of quiver Grassmannians for Dynkin quivers
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
A desingularization of arbitrary quiver Grassmannians for representations of Dynkin quivers is constructed in terms of quiver Grassmannians for an algebra derived equivalent to the…
Quiver Grassmannians and degenerate flag varieties
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
Quiver Grassmannians are varieties parametrizing subrepresentations of a quiver representation. It is observed that certain quiver Grassmannians for type A quivers are isomorphic t…