Multiplicities of Representations in Algebraic Families
In this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally constancy of Euler–Poincaré numbers. This generalizes the main result of Aizenbud–Sayag for unramified twisting families.
Authors
- Li Cai (ORCID: https://orcid.org/0000-0001-6737-7396)
- Yangyu Fan (ORCID: https://orcid.org/0000-0002-1303-0722)
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2024-11-05
- DOI
- https://doi.org/10.5802/crmath.623
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China