Work

On some Airy sheaves of Laurent type

Year: 2024

Type: article

Abstract: We study certain one-parameter families of exponential sums of Airy–Laurent type. Their general theory was developed in Katz and Tiep (Airy sheaves of Laurent type: an introduction, https://web.math.princeton.edu/~nmk/kt31_11sept.pdf ). In the present paper, we make use of that general theory to compute monodromy groups in some particularly simple families (in the sense of “simple to remember"), realizing Weyl groups of type $$E_6$$ E 6 and $$E_8$$ E 8 .

Source: European Journal of Mathematics

DOI: 10.1007/s40879-024-00770-0

Authors: Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep

Institutions: Princeton University, Universidad de Sevilla, Rutgers, The State University of New Jersey

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Agencia Estatal de Investigación