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arXiv:2302.02085 [math.RT]AbstractReferencesReviewsResources

Semicontinuous maps on module varieties

Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer

Published 2023-02-04Version 1

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.

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