Airy sheaves of Laurent type: An introduction

Nicholas M. Katz; Pham Huu Tiep

doi:10.4171/RLM/1082

Airy sheaves of Laurent type: An introduction

Mathematics

Princeton University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	531-562
Number of pages	32
Journal	Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Volume	36
Issue number	3
DOIs	https://doi.org/10.4171/RLM/1082
State	Published - 2025

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Geometry and Topology

Keywords

exponential sums
local systems
monodromy groups

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10.4171/RLM/1082

Cite this

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KW - exponential sums

KW - local systems

KW - monodromy groups

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Airy sheaves of Laurent type: An introduction

Abstract

ASJC Scopus subject areas

Keywords

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