Airy sheaves of Laurent type: An introduction

Nicholas M. Katz; Pham Huu Tiep

doi:10.4171/rlm/1082

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Airy sheaves of Laurent type: An introduction

Nicholas M. Katz
Princeton University, USA
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Pham Huu Tiep
Rutgers University, Piscataway, USA

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Abstract

We develop the general theory of Airy sheaves of Laurent type, the local systems whose trace functions have a particular “Airy-Laurent” shape. The main goal is to provide tools for the later determination of their monodromy groups. See [Eur. J. Math. 10 (2024), article no. 65] for instances of such determinations.

Cite this article

Nicholas M. Katz, Pham Huu Tiep, Airy sheaves of Laurent type: An introduction. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. (2026), published online first

DOI 10.4171/RLM/1082