Eichler-Shimura Relation on Intersection Cohomology
Zhiyou Wu
TL;DR
This paper proves the Eichler-Shimura relation within the intersection cohomology framework of minimal compactifications of Shimura varieties of Hodge type, advancing understanding of their arithmetic and geometric properties.
Contribution
It establishes the Eichler-Shimura relation on intersection cohomology for Shimura varieties of Hodge type, a significant extension of classical results.
Findings
Proved the Eichler-Shimura relation on intersection cohomology.
Extended classical relations to Hodge type Shimura varieties.
Enhanced understanding of the arithmetic geometry of Shimura varieties.
Abstract
We prove the Eichler-Shimura relation on intersection cohomolgoy of minimal compactifications of Shimura Varieties of Hodge type.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometry and complex manifolds