Intersections of Hirzebruch–Zagier Divisors and CM Cycles

• Main Authors: Howard, Benjamin (Author), Yang, Tonghai (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Lecture Notes in Mathematics, 2041
• Subjects: Mathematics.; Number theory.; Number Theory.

This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series is a Hilbert mod...

Table of Contents:

• 1. Introduction
• 2. Linear Algebra
• 3. Moduli Spaces of Abelian Surfaces
• 4. Eisenstein Series
• 5. The Main Results
• 6. Local Calculations.