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PreprintCC BY 4.0arXiv

Singularities of star cluster algebras

  • Eleonore Faber
  • Bernd Schober
Open at sourcePDFDOICite

Abstract

We introduce the class of star cluster algebras and classify their singularities. Then we focus on the combinatorial structure of the desingularization by determining the number of irreducible centers that are blown up.

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Cite

BibTeXRIS
BibTeX
@misc{faber2026singularities,
  title = {{Singularities of star cluster algebras}},
  author = {Eleonore Faber and Bernd Schober},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01501},
  eprint = {2609.01501},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01501},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Singularities of star cluster algebras
AU  - Eleonore Faber
AU  - Bernd Schober
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01501
UR  - https://arxiv.org/abs/2609.01501
AB  - We introduce the class of star cluster algebras and classify their singularities. Then we focus on the combinatorial structure of the desingularization by determining the number of irreducible centers that are blown up.
ER  -