Complex multiplication cycles and Kudla-Rapoport divisors

• Autores: Benjamin Howard
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 176, Nº 2, 2012, págs. 1097-1171
• Idioma: inglés
• DOI: 10.4007/annals.2012.176.2.9
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• Resumen

  • We study the intersections of special cycles on a unitary Shimura variety of signature (n-1,1) and show that the intersection multiplicities of these cycles agree with Fourier coefficients of Eisenstein series. The results are new cases of conjectures of Kudla and suggest a Gross-Zagier theorem for unitary Shimura varieties.