Semicontinuous maps on module varieties
Representation Theory
2024-07-08 v2
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 -vectors and -invariants of modules are upper semicontinuous. We also discuss inequalities of generic values of some upper semicontinuous maps.
Keywords
Cite
@article{arxiv.2302.02085,
title = {Semicontinuous maps on module varieties},
author = {Christof Geiß and Daniel Labardini-Fragoso and Jan Schröer},
journal= {arXiv preprint arXiv:2302.02085},
year = {2024}
}
Comments
17 pages. V2: small corrections and slightly reorganized after a referee report. Final version, to appear in Crelle