Degenerate affine flag varieties and quiver grassmannians
- We study finite dimensional approximations to degenerate versions of affine flag varieties using quiver Grassmannians for cyclic quivers. We prove that they admit cellular decompositions parametrized by affine Dellac configurations, and that their irreducible components are normal Cohen-Macaulay varieties with rational singularities.
| Author: | Alexander PützORCiDGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-95713 |
| DOI: | https://doi.org/10.1007/s10468-020-10012-y |
| Parent Title (English): | Algebras and representation theory |
| Publisher: | Springer Science + Business Media B.V. |
| Place of publication: | Dordrecht |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2023/01/10 |
| Date of first Publication: | 2020/12/04 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Tag: | Affine Dellac configurations; Equioriented cycle; Finite approximations; Grand Motzkin paths; Linear degenerations; Rational singularities |
| Volume: | 25 |
| First Page: | 91 |
| Last Page: | 119 |
| Note: | Dieser Beitrag ist auf Grund des DEAL-Springer-Vertrages frei zugänglich. |
| Dewey Decimal Classification: | Naturwissenschaften und Mathematik / Mathematik |
| open_access (DINI-Set): | open_access |
| faculties: | Fakultät für Mathematik |
| Licence (English): |  Creative Commons - CC BY 4.0 - Attribution 4.0 International |
