Journal article
Decomposing moduli of representations of finite-dimensional algebras
Mathematische annalen, Vol.372(1-2), pp.555-580
10/01/2018
DOI: 10.1007/s00208-018-1687-7
Abstract
Consider a finite-dimensional algebra A and any of its moduli spaces M(A, d)(theta)(ss). of representations. We prove a decomposition theorem which relates any irreducible component of M(A, d)(theta)(ss). to a product of simpler moduli spaces via a finite and birational map. Furthermore, this morphism is an isomorphism when the irreducible component is normal. As an application, we show that the irreducible components of all moduli spaces associated to tame (or even Schur-tame) algebras are rational varieties.
Details
- Title: Subtitle
- Decomposing moduli of representations of finite-dimensional algebras
- Creators
- Calin Chindris - University of MissouriRyan Kinser - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Mathematische annalen, Vol.372(1-2), pp.555-580
- DOI
- 10.1007/s00208-018-1687-7
- ISSN
- 0025-5831
- eISSN
- 1432-1807
- Publisher
- SPRINGER HEIDELBERG
- Number of pages
- 26
- Grant note
- H98230-15-1-0022 / NSA
- Language
- English
- Date published
- 10/01/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984241052002771
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