The Gross-Kohnen-Zagier theorem over totally real fields

Xinyi Yuan; Shou Wu Zhang; Wei Zhang

doi:10.1112/S0010437X08003734

The Gross-Kohnen-Zagier theorem over totally real fields

Xinyi Yuan, Shou Wu Zhang, Wei Zhang

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

On Shimura varieties of orthogonal type over totally real fields, we prove a product formula and the modularity of Kudlas generating series of special cycles in Chowgroups.

Original language	English (US)
Pages (from-to)	1147-1162
Number of pages	16
Journal	Compositio Mathematica
Volume	145
Issue number	5
DOIs	https://doi.org/10.1112/S0010437X08003734
State	Published - Sep 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Kudla cycles
Shimura varieties
Siegel modular forms

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10.1112/S0010437X08003734

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title = "The Gross-Kohnen-Zagier theorem over totally real fields",

abstract = "On Shimura varieties of orthogonal type over totally real fields, we prove a product formula and the modularity of Kudlas generating series of special cycles in Chowgroups.",

keywords = "Kudla cycles, Shimura varieties, Siegel modular forms",

author = "Xinyi Yuan and Zhang, {Shou Wu} and Wei Zhang",

year = "2009",

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doi = "10.1112/S0010437X08003734",

language = "English (US)",

volume = "145",

pages = "1147--1162",

journal = "Compositio Mathematica",

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AU - Yuan, Xinyi

AU - Zhang, Shou Wu

AU - Zhang, Wei

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N2 - On Shimura varieties of orthogonal type over totally real fields, we prove a product formula and the modularity of Kudlas generating series of special cycles in Chowgroups.

AB - On Shimura varieties of orthogonal type over totally real fields, we prove a product formula and the modularity of Kudlas generating series of special cycles in Chowgroups.

KW - Kudla cycles

KW - Shimura varieties

KW - Siegel modular forms

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JO - Compositio Mathematica

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The Gross-Kohnen-Zagier theorem over totally real fields

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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