Autor:	Sabbah, Claude, Yu, Jeng-Daw
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory 14C30 14D07 32G20 32S40 34M35
Zdroj:	Tunisian J. Math. 5 (2023) 215-271
Druh dokumentu:	Working Paper
DOI:	10.2140/tunis.2023.5.215
Popis:	We consider the complex analogues of symmetric power moments of cubic exponential sums. These are symmetric powers of the classical Airy differential equation. We show that their de Rham cohomologies underlie an arithmetic Hodge structure in the sense of Anderson and we compute their Hodge numbers by means of the irregular Hodge filtration, which is indexed by rational numbers, on their realizations as exponential mixed Hodge structures. The main result is that all Hodge numbers are either zero or one. Comment: 47 pages. V2: final published version, 48 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.13405 Zobrazit plný text záznamu View this record from Arxiv