The Equivalence Problem for Generalized Airy Operators

Yichuan Cao; Ruyong Feng; Yunfei Li; Ruichen Qiu

The Equivalence Problem for Generalized Airy Operators

Rings and Algebras 2026-07-01 v1

Authors: Yichuan Cao , Ruyong Feng , Yunfei Li , Ruichen Qiu

Abstract

In this paper, we establish degree obstructions to the equivalence of generalized Airy operators of the same type. As an application, we answer a question posed by Nicholas M. Katz in Inventiones Mathematicae (87, pp. 13-61,1987). The main results of Sections 3 and 4 were obtained through a close interactive collaboration between the authors and the artificial intelligence agent system MechMath Agent Team (MMAT).

Cite

@article{arxiv.2607.00359,
  title  = {The Equivalence Problem for Generalized Airy Operators},
  author = {Yichuan Cao and Ruyong Feng and Yunfei Li and Ruichen Qiu},
  journal= {arXiv preprint arXiv:2607.00359},
  year   = {2026}
}

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17 pages