Year: 2024
Type: article
Abstract: 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.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.623
Authors: Li Cai, Yangyu Fan
Institutions: Capital Normal University, Beijing Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G5069395057, G5908440605
OpenAlex ID: W4404061454