Pfaffian Geometry and Indicial Singularities of Third-Order Linear ODEs

@misc{leon2026pfaffian,
  title = {{Pfaffian Geometry and Indicial Singularities of Third-Order Linear ODEs}},
  author = {Víctor León and Bruno Scárdua},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30748},
  eprint = {2609.30748},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30748},
}

TY  - UNPB
TI  - Pfaffian Geometry and Indicial Singularities of Third-Order Linear ODEs
AU  - Víctor León
AU  - Bruno Scárdua
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.30748
UR  - https://arxiv.org/abs/2609.30748
AB  - We study third-order linear differential equations through their associated Pfaffian and projective foliations. In the regular-singular setting, we introduce a Fuchs-adapted Pfaffian model in which the indicial polynomial appears directly in the special-fiber singular scheme, and Frobenius resonance acquires a projective geometric interpretation.
ER  -