5 papers
The Siegel-Weil formula in geometry and arithmetic
Jan Hendrik Bruinier, Riccardo Zuffetti
The present paper is an extended version of the lecture notes of a course given by the first author at the summer school on Formulas of Siegel and Weil (Bielefeld, September 2025).…
Intersections of special cycles on Shimura curves and Siegel Maass forms
Jan Hendrik Bruinier, Yingkun Li, Martin Möller
We show that the generating series of the number of pairs of geodesics on a compact Shimura curve with given discriminants and intersection angle are coefficients of a non-holomorp…
Correction to "Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series"
Jan Hendrik Bruinier, Martin Raum
We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.
Deformations of Theta Integrals and A Conjecture of Gross-Zagier
Jan H. Bruinier, Yingkun Li, Tonghai Yang
In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves.…
Arithmetic volumes of unitary Shimura varieties
Jan Hendrik Bruinier, Benjamin Howard
The integral model of a Shimura variety carries a universal abelian scheme over it, and the dual top exterior power of its Lie algebra carries a natural hermit…