caa a22 4500 606160906 CHVBK 20210128100632.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10468-015-9527-x doi (NATIONALLICENCE)springer-10.1007/s10468-015-9527-x Moduli Spaces of Modules of Schur-Tame Algebras [Elektronische Daten] [Andrew Carroll, Calin Chindris] In this paper, we first show that for an acyclic gentle algebra A, the irreducible components of any moduli space of A-modules are products of projective spaces. Next, we show that the nice geometry of the moduli spaces of modules of an algebra does not imply the tameness of the representation type of the algebra in question. Finally, we place these results in the general context of moduli spaces of modules of Schur-tame algebras. More specifically, we show that for an arbitrary Schur-tame algebra A and 𝜃-stable irreducible component C of a module variety of A-modules, the moduli space ℳ ( C ) 𝜃 ss $\mathcal {M}(C)^{ss}_{\theta }$ is either a point or a rational projective curve. Springer Science+Business Media Dordrecht, 2015 Schur-tame algebras nationallicence Moduli spaces of modules nationallicence String algebras nationallicence Carroll Andrew Mathematics Department, University of Missouri-Columbia, 65211, Columbia, MO, USA aut Chindris Calin Mathematics Department, University of Missouri-Columbia, 65211, Columbia, MO, USA aut Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 961-976 1386-923X 18:4<961 2015 18 10468 https://doi.org/10.1007/s10468-015-9527-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-015-9527-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Carroll Andrew Mathematics Department, University of Missouri-Columbia, 65211, Columbia, MO, USA aut NATIONALLICENCE 700 1- Chindris Calin Mathematics Department, University of Missouri-Columbia, 65211, Columbia, MO, USA aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 961-976 1386-923X 18:4<961 2015 18 10468