Arithmetic intersections of modular geodesics

Autor:	Henri Darmon, Jan Vonk
Rok vydání:	2022
Předmět:	Algebra and Number Theory Geodesic business.industry 010102 general mathematics 010103 numerical & computational mathematics Modular design 01 natural sciences Factorization 0101 mathematics Special case Arithmetic business Mathematics Meromorphic function
Zdroj:	Journal of Number Theory. 230:89-111
ISSN:	0022-314X
Popis:	The arithmetic, p-arithmetic, and incoherent intersections between pairs of closed geodesics on a modular or Shimura curve are defined, and some of their expected algebraicity and factorisation properties are examined. These properties follow in a special case from the conjectures of [DV] on the RM values of rigid meromorphic cocycles, and are inspired from the recent work of James Rickards [Ri] and Xavier Guitart, Marc Masdeu and Xavier Xarles [GMX] in the quaternionic setting.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4670dc8e76e0025667ddcf362aed085f https://doi.org/10.1016/j.jnt.2020.12.012 Zobrazit plný text záznamu Full Text from ScienceDirect