Antispecial cycles on the Drinfeld upper half plane and degenerate Hirzebruch–Zagier cycles

Terstiege, Ulrich (February 2008): Antispecial cycles on the Drinfeld upper half plane and degenerate Hirzebruch–Zagier cycles. In: manuscripta mathematica, Vol. 125: pp. 191-223

Abstract

We define the notion of antispecial cycles on the Drinfeld upper half plane in analogy to the notion of special cycles in Kudla and Rapoport (Invent Math 142:153–223, 2000). We determine equations for antispecial cycles and calculate the intersection multiplicity of two antispecial cycles. The result is applied to calculate the intersection multiplicity of certain degenerate Hirzebruch–Zagier cycles. Finally we compare this intersection multiplicity to certain representation densities.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Chair of Mathematics of Information Processing
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0025-2611
• Language: English