Semi-invariants for concealed-canonical algebras

Bobiński, Grzegorz

doi:10.1016/j.jpaa.2014.04.009

Cited by 4 publications

(1 citation statement)

References 29 publications

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“…Our objective is to describe the tameness, and more generally the Schur-tameness, of an algebra in terms of invariant theory. This line of research has attracted much attention during the last two decades (see for example [2], [4], [3], [5], [10], [11], [12], [14], [18], [20], [24], [25], [26], [29]).…”

Section: Introductionmentioning

confidence: 99%

Moduli Spaces of Modules of Schur-Tame Algebras

Carroll

Chindris

2015

Algebr Represent Theor

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ABSTRACT. 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) ss θ is either a point or a rational projective curve.

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Section: Introductionmentioning

confidence: 99%

Moduli Spaces of Modules of Schur-Tame Algebras

Carroll

Chindris

2015

Algebr Represent Theor

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The closure of the set of periodic modules over a concealed canonical algebra is regular in codimension one

Bobiński

Zwara

2017

Journal of Algebra

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Moduli Spaces of Representations of Special Biserial Algebras

Carroll

Chindris

Kinser

et al. 2018

International Mathematics Research Notices

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We show that the irreducible components of any moduli space of semistable representations of a special biserial algebra are always isomorphic to products of projective spaces of various dimensions. This is done by showing that irreducible components of varieties of representations of special biserial algebras are isomorphic to irreducible components of products of varieties of circular complexes, and therefore normal, allowing us to apply recent results of the second and third authors on moduli spaces.

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Semi-invariants for concealed-canonical algebras

Cited by 4 publications

References 29 publications

Moduli Spaces of Modules of Schur-Tame Algebras

Moduli Spaces of Modules of Schur-Tame Algebras

The closure of the set of periodic modules over a concealed canonical algebra is regular in codimension one

Moduli Spaces of Representations of Special Biserial Algebras

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