A note on the integrality of mirror maps

Autor:	Adolphson, Alan, Sperber, Steven
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We give a class of examples of $A$-hypergeometric systems that display integrality of mirror maps. Specifically, these systems have solutions $F(\lambda_1,\dots,\lambda_N) = 1$ and $\log\lambda^l + G(\lambda_1,\dots,\lambda_N)$ (for certain $l\in{\mathbb Z}^N$) such that $\exp G(\lambda)$ has integral coefficients. The proof requires only some elementary congruences. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.04293 Zobrazit plný text záznamu View this record from Arxiv