Shimura Varieties and Moduli
J.S. Milne
TL;DR
This paper explores the relationship between connected Shimura varieties, which are quotients of hermitian symmetric domains by discrete groups, and their role as moduli spaces in algebraic geometry.
Contribution
It clarifies the connection between Shimura varieties and moduli varieties, providing insights into their structure and significance.
Findings
Shimura varieties are linked to moduli spaces of algebraic structures.
The paper details the construction of Shimura varieties as quotients.
Connections with hermitian symmetric domains are elucidated.
Abstract
Connected Shimura varieties are the quotients of hermitian symmetric domains by discrete groups defined by congruence conditions. We examine their relation with moduli varieties. (Handbook of Moduli).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Finite Group Theory Research