JournalsrlmVol. 36, No. 3pp. 531–562

Airy sheaves of Laurent type: An introduction

  • Nicholas M. Katz

    Princeton University, USA

  • Pham Huu Tiep

    Rutgers University, Piscataway, USA
Airy sheaves of Laurent type: An introduction cover
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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. 36 (2025), no. 3, pp. 531–562

DOI 10.4171/RLM/1082