Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Bruinier, Jan Hendrik"'
In the 80's Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety with respect to the other variable.
Externí odkaz:
http://arxiv.org/abs/2406.19921
We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in the Chow group. We prove that it is a holomorphic Siegel, respectively
Externí odkaz:
http://arxiv.org/abs/2404.06254
Autor:
Bruinier, Jan Hendrik, Raum, Martin
The notion of formal Siegel modular forms for an arithmetic subgroup $\Gamma$ of the symplectic group of genus $n$ is a generalization of symmetric formal Fourier-Jacobi series. Assuming an upper bound on the affine covering number of the Siegel modu
Externí odkaz:
http://arxiv.org/abs/2402.06572
In this paper we investigate the Fourier coefficients of harmonic Maass forms of negative half-integral weight. We relate the algebraicity of these coefficients to the algebraicity of the coefficients of certain canonical meromorphic modular forms of
Externí odkaz:
http://arxiv.org/abs/2209.11454
The integral model of a GU(n-1,1) Shimura variety carries a universal abelian scheme over it, and the dual top exterior power of its Lie algebra carries a natural hermitian metric. We express the arithmetic volume of this metrized line bundle, define
Externí odkaz:
http://arxiv.org/abs/2105.11274
Gross and Zagier conjectured that the CM values (of certain Hecke translates) of the automorphic Green function $G_s(z_1,z_2)$ for the elliptic modular group at positive integral spectral parameter $s$ are given by logarithms of algebraic numbers in
Externí odkaz:
http://arxiv.org/abs/1912.12084
Autor:
Bruinier, Jan Hendrik, Zemel, Shaul
We determine the behavior of automorphic Green functions along the boundary components of toroidal compactifications of orthogonal Shimura varieties. We use this analysis to define boundary components of special divisors and prove that the generating
Externí odkaz:
http://arxiv.org/abs/1912.11825
Publikováno v:
Mathematische Zeitschrift (2020)
We evaluate regularized theta lifts for Lorentzian lattices in three different ways. In particular, we obtain formulas for their values at special points involving coefficients of mock theta functions. By comparing the different evaluations, we deriv
Externí odkaz:
http://arxiv.org/abs/1912.08126