Modularity of arithmetic special divisors for unitary Shimura varieties (with an appendix by Yujie Xu)

We construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow groups. This provides a partial solution to Kudl...

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Bibliographic Details
Main Authors: Congling Qiu, Yujie Xu
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509425000003/type/journal_article
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