Finiteness properties for Shimura curves and modified diagonal cycles

Autor:	Qiu, Congling
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We conjecture that only finitely many Shimura curves can have vanishing modified diagonal cycles in the Chow groups of their triple products. We prove some finiteness results toward this conjecture in terms of an automorphic criterion for such vanishing. In particular, we establish an analog of the classification of hyperelliptic Shimura curves by Ogg. As a by-product, we also obtain some new examples of curves with vanishing modified diagonal cycles.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.20600 Zobrazit plný text záznamu View this record from Arxiv