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PreprintarXiv licencearXiv

An explicit basis for the extended Catalan arrangement of type Dl

  • Weili Guo
  • Yupeng Wang
  • Zixuan Wang
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Abstract

Motivated by Kawanoue's construction with the finite-sum formulas, we construct an explicit homogeneous basis for the derivation module of the cone of the extended Catalan arrangement of type Dl. We further show that the restriction of this basis at infinity coincides, up to a nonzero constant, with the integral basis constructed by Feigin-Wang-Yoshinaga. This identifies the geometric motivation behind the parameter choices.

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Cite

BibTeXRIS
BibTeX
@misc{guo2026explicit,
  title = {{An explicit basis for the extended Catalan arrangement of type Dl}},
  author = {Weili Guo and Yupeng Wang and Zixuan Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01866},
  eprint = {2610.01866},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01866},
}
RIS
TY  - UNPB
TI  - An explicit basis for the extended Catalan arrangement of type Dl
AU  - Weili Guo
AU  - Yupeng Wang
AU  - Zixuan Wang
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01866
UR  - https://arxiv.org/abs/2610.01866
AB  - Motivated by Kawanoue's construction with the finite-sum formulas, we construct an explicit homogeneous basis for the derivation module of the cone of the extended Catalan arrangement of type Dl. We further show that the restriction of this basis at infinity coincides, up to a nonzero constant, with the integral basis constructed by Feigin-Wang-Yoshinaga. This identifies the geometric motivation behind the parameter choices.
ER  -