Squares of toric period integrals in higher cohomology

Autor:	Blanco, Santiago Molina
Rok vydání:	2023
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	Thanks to the Harder-Eichler-Shimura isomorphism we can realize a quaternionic automorphic representation of a fixed weight in the cohomology space of certain arithmetic groups. For many interesting applications, it is convenient to consider the cap-product of a cohomology class in these spaces with a fundamental class associated to a maximal torus. In a recent paper, the author computes the absolute value of such a cap-product, and he relates it to special values of Rankin-Selberg L-functions. This provides a formula analogous to that of Waldspurger in higher cohomology. In this paper we compute the square of the cap-product instead of its absolute value. Comment: arXiv admin note: text overlap with arXiv:2201.00524
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.11207 Zobrazit plný text záznamu View this record from Arxiv