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arXiv · 2609.30748

Pfaffian Geometry and Indicial Singularities of Third-Order Linear ODEs

Víctor León·Bruno Scárdua
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Abstract

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.

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Víctor León, Bruno Scárdua. 2026-09-25. Pfaffian Geometry and Indicial Singularities of Third-Order Linear ODEs. https://arxiv.org/abs/2609.30748

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