Stability conditions for coherent systems on integral curves
Abstract We present stability conditions for the category of coherent systems on an integral curve. We define a three-parameter family of pre-stability conditions in its derived category using tilting, and we then investigate when these conditions qualify as stability conditions. Additionally, we examine the semistability of specific objects under these conditions, namely: torsion, free, and complete tilted systems, without relying on the support property.
Authors
- Marcos Jardim (ORCID: https://orcid.org/0000-0002-8419-7044)
- Renato Vidal Martins (ORCID: https://orcid.org/0009-0000-2723-4200)
- L. Roa-Leguizamón (ORCID: https://orcid.org/0000-0002-3102-7674)
Institutions
- Universidade Federal de Minas Gerais (BR)
- Universidade Estadual de Campinas (UNICAMP) (BR)
Publication Details
- Journal
- Revista Matemática Complutense
- Published
- 2026-10-30
- DOI
- https://doi.org/10.1007/s13163-026-00605-4
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico