On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules

Pressland M, Sauter J (2021)
Algebras and Representation Theory .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Pressland, Matthew; Sauter, JuliaUniBi
Abstract / Bemerkung
We show that endomorphism rings of cogenerators in the module category of a finite-dimensional algebra A admit a canonical tilting module, whose tilted algebra B is related to A by a recollement. Let M be a gen-finite A-module, meaning there are only finitely many indecomposable modules generated by M. Using the canonical tilts of endomorphism algebras of suitable cogenerators associated to M, and the resulting recollements, we construct desingularisations of the orbit closure and quiver Grassmannians of M, thus generalising all results from previous work of Crawley-Boevey and the second author in 2017. We provide dual versions of the key results, in order to also treat cogen-finite modules.
Stichworte
Quiver Grassmannian; Representation variety; Tilting theory; Desingularisation
Erscheinungsjahr
2021
Zeitschriftentitel
Algebras and Representation Theory
ISSN
1386-923X
eISSN
1572-9079
Page URI
https://pub.uni-bielefeld.de/record/2955696

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Pressland M, Sauter J. On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules. Algebras and Representation Theory . 2021.
Pressland, M., & Sauter, J. (2021). On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules. Algebras and Representation Theory . https://doi.org/10.1007/s10468-021-10028-y
Pressland, M., and Sauter, J. (2021). On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules. Algebras and Representation Theory .
Pressland, M., & Sauter, J., 2021. On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules. Algebras and Representation Theory .
M. Pressland and J. Sauter, “On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules”, Algebras and Representation Theory , 2021.
Pressland, M., Sauter, J.: On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules. Algebras and Representation Theory . (2021).
Pressland, Matthew, and Sauter, Julia. “On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules”. Algebras and Representation Theory (2021).

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