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.
Semicontinuous maps on module varieties
Labardini-Fragoso, Daniel;
2024
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.
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