Crawley-Boevey, W and Sauter, J (2017) On quiver Grassmannians and orbit closures for representation-finite algebras. Mathematische Zeitschrift, 285 (1). pp. 367-395. ISSN 0025-5874
Abstract
We show that Auslander algebras have a unique tilting and cotilting module which is generated and cogenerated by a projective-injective; its endomorphism ring is called the projective quotient algebra. For any representation- nite algebra, we use the projective quotient algebra to construct desingularizations of quiver Grassmannians, orbit closures in representation varieties, and their desingularizations. This generalizes results of Cerulli Irelli, Feigin and Reineke.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | Quiver Grassmannian; Representation variety; Auslander algebra; Tilting theory |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 May 2016 10:30 |
Last Modified: | 11 Apr 2018 12:26 |
Published Version: | https://doi.org/10.1007/s00209-016-1712-z |
Status: | Published |
Publisher: | Springer Verlag (Germany) |
Identification Number: | 10.1007/s00209-016-1712-z |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:99463 |