Indecomposable vector-valued modular forms and periods of modular curves

Autor:	Diego Yepez, Christopher Marks, Tucker Hartland, Luca Candelori
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Pure mathematics Algebra and Number Theory Mathematics - Number Theory business.industry Mathematics::Number Theory Modular form Holomorphic function Modular design Number theory Modular group FOS: Mathematics Congruence (manifolds) Number Theory (math.NT) Indecomposable module business Mathematics
Popis:	We classify the three-dimensional representations of the modular group that are reducible but indecomposable, and their associated spaces of holomorphic vector-valued modular forms. We then demonstrate how such representations may be employed to compute periods of modular curves. This technique obviates the use of Hecke operators, and therefore provides a method for studying noncongruence modular curves as well as congruence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62012d87c3c25faa1fe510f1c9d2ea6e http://arxiv.org/abs/1707.01693 Zobrazit plný text záznamu