Generic Modules for string algebras

Abstract

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 groups for generic modules. This algorithm lends itself for use in determining tilting modules over gentle string algebras.

References in corpus (3)

• Quiver Grassmannians associated with string modules
• Gentle algebras arising from surface triangulations
• Generic decompositions and semi-invariants for string algebras

Cited by in corpus (4)

• Mapping cones in the bounded derived category of a gentle algebra
• Schemes of modules over gentle algebras and laminations of surfaces
• On the invariant theory for acyclic gentle algebras
• Moduli spaces of modules of Schur-tame algebras