Jan H. Bruinier, Yingkun Li, Tonghai Yang
Published 2022-04-22Version 1
In this paper, we complete the proof of Gross-Zagier's conjecture concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over a real quadratic field, which is constructed as the Doi-Naganuma theta lift of a deformed theta integral on hyperbolic space.
Comments: 60 pages, comments welcome!
Examples of abelian surfaces with everywhere good reduction
Petersson Norm of Cusp Form Associated to Real Quadratic Field
Deformations of Galois representations and exceptional monodromy, II: raising the level
![QR code for arXiv:2204.10604 [math.NT]](http://oss.arxitics.com/images/favicon.svg)