Special cycles on orthogonal Shimura varieties
Ruishen Zhao
TL;DR
This paper develops a general method to establish tame and norm relations for special cycles on Shimura varieties, using unitary cycles in orthogonal Shimura varieties as a key example.
Contribution
It introduces a new approach to relate special cycles on Shimura varieties, expanding understanding of their arithmetic properties.
Findings
Established tame and norm relations for special cycles
Applied method to unitary cycles in orthogonal Shimura varieties
Enhanced tools for studying arithmetic of Shimura varieties
Abstract
In this paper, we investigate a general method to establish tame and norm relations for special cycles in Shimura varieties, using unitary cycles in odd orthogonal Shimura varieties as a guiding example.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research