Semicontinuous maps on module varieties
Abstract We study semicontinuous maps on varieties of modules over finite-dimensional algebras. We prove that truncated Euler maps are upper or lower semicontinuous. This implies that 𝑔-vectors and 𝐸-invariants of modules are upper semicontinuous. We also discuss inequalities of generic values of some upper semicontinuous maps.
Authors
- Daniel Labardini-Fragoso
- Jan Schröer
- Christof Geiß (ORCID: https://orcid.org/0000-0002-8196-7541)
Institutions
- University of Bonn (DE)
- Universidad Nacional Autónoma de México (MX)
Publication Details
- Journal
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Published
- 2024-08-22
- DOI
- https://doi.org/10.1515/crelle-2024-0049
- Citations
- 5
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 5.06