The Gross-Kohnen-Zagier theorem over totally real fields

Xinyi Yuan, Shou Wu Zhang, Wei Zhang

Research output: Contribution to journalArticlepeer-review

9 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 languageEnglish (US)
Pages (from-to)1147-1162
Number of pages16
JournalCompositio Mathematica
Volume145
Issue number5
DOIs
StatePublished - Sep 2009

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Kudla cycles
  • Shimura varieties
  • Siegel modular forms

Fingerprint Dive into the research topics of 'The Gross-Kohnen-Zagier theorem over totally real fields'. Together they form a unique fingerprint.

Cite this