Semicontinuous maps on module varieties
| Autor: | Geiß, Christof, Labardini-Fragoso, Daniel, Schröer, Jan |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 17 pages. V2: small corrections and slightly reorganized after a referee report. Final version, to appear in Crelle |
| Databáze: | arXiv |
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