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PreprintarXiv licencearXiv

On the derived Hall algebra of a graded gentle one-cycle algebra II: Serre presentation

Abstract

We present Serre-type generators and relations for the derived Hall algebra of a graded gentle one-cycle algebra when a certain integral invariant is not $0$ or ± 1.

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BibTeX
@misc{chen2026derived,
  title = {{On the derived Hall algebra of a graded gentle one-cycle algebra II: Serre presentation}},
  author = {Hui Chen and Dong Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14933},
  eprint = {2609.14933},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14933},
}
RIS
TY  - UNPB
TI  - On the derived Hall algebra of a graded gentle one-cycle algebra II: Serre presentation
AU  - Hui Chen
AU  - Dong Yang
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.14933
UR  - https://arxiv.org/abs/2609.14933
AB  - We present Serre-type generators and relations for the derived Hall algebra of a graded gentle one-cycle algebra when a certain integral invariant is not $0$ or ± 1.
ER  -