On local representation densities of Hermitian forms and special cycles II.

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Bibliographic Details
Title: On local representation densities of Hermitian forms and special cycles II.
Authors: Cho, Sungyoon1 (AUTHOR) sungyooncho@postech.ac.kr
Source: Journal of Number Theory. Apr2026, Vol. 281, p169-204. 36p.
Subjects: Hermitian forms, Intersection numbers, Algebraic geometry, Mathematics, Number theory, Hypothesis
Abstract: In this paper, we prove that there are certain relations among representation densities and provide an efficient way to compute representation densities by using these relations. As an application, we compute certain arithmetic intersection numbers of special cycles on unitary Rapoport-Zink spaces and propose a conjecture on these. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:In this paper, we prove that there are certain relations among representation densities and provide an efficient way to compute representation densities by using these relations. As an application, we compute certain arithmetic intersection numbers of special cycles on unitary Rapoport-Zink spaces and propose a conjecture on these. [ABSTRACT FROM AUTHOR]
ISSN:0022314X
DOI:10.1016/j.jnt.2025.09.020