Degenerations of families of bands and strings for gentle algebras
Abstract
Let A be a gentle algebra. For every collection of string and band diagrams, we consider the constructible subset of the variety of representations containing all modules with this underlying diagram. We study degenerations of such sets. We show that these sets are defined by vectors of integers which we call h -vectors and which are related to a restricted version of the hom-order. We provide combinatorial criteria for the existence of a degeneration, involving the removal of an arrow or the resolving of a type of configuration called “reaching”.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 710
- Pages
- 488–526
- Publication date
- 2 July 2026
- Language
- EN