Work

Semicontinuous maps on module varieties

Year: 2024

Type: article

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.

Source: Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI: 10.1515/crelle-2024-0049

Authors: Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer

Institutions: Universidad Nacional Autónoma de México, University of Bonn

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4401734981

FWCI: 3.351

Cites: 20

Cited by: 5

Related to: 10