13 citations · 30 across the 8 of their papers we have counts for
7 papers · 1 filter
Minimal inclusions of torsion classes
Emily Barnard, Andrew T. Carroll, Shijie Zhu
Let be a finite-dimensional associative algebra. The torsion classes of form a lattice under containment, denoted by . In this paper, we characterize the co…
Moduli spaces of representations of special biserial algebras
Andrew T. Carroll, Calin Chindris, Ryan Kinser +1
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 va…
Moduli spaces of modules of Schur-tame algebras
Andrew T. 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…
Quiver representations of constant Jordan type and vector bundles
Andrew T. Carroll, Calin Chindris, Zongzhu Lin
Inspired by the work of Benson, Carlson, Friedlander, Pevtsova, and Suslin on modules of constant Jordan type for finite group schemes, we introduce in this paper the class of repr…
On the invariant theory for acyclic gentle algebras
Andrew T. Carroll, Calin Chindris
In this paper we show that the fields of rational invariants over the irreducible components of the module varieties for an acyclic gentle algebra are purely transcendental extensi…
Generic Modules for string algebras
Andrew Thomas Carroll
We describe the generic modules in each component of the spaces of representations of certain string algebras. In so doing, we calculate the dimensions of higher self-extension gro…