Intersections of arithmetic Hirzebruch–Zagier cycles

Terstiege, Ulrich (2011): Intersections of arithmetic Hirzebruch–Zagier cycles. In: Mathematische Annalen, Vol. 349: pp. 161-213

Abstract

We establish a close connection between the intersection multiplicities of three arithmetic Hirzebruch–Zagier cycles and the Fourier coefficients of the derivative of a certain Siegel–Eisenstein series at its center of symmetry. Our main result proves a conjecture of Kudla and Rapoport.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Chair of Mathematics of Information Processing
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0025-5831
• Language: English