2 citations · 2 across the 8 of their papers we have counts for
8 papers
Atkin polynomials for families of abelian varieties with real multiplication
Gabriele Bogo, Yingkun Li
Generalizing the work of Atkin and Kaneko-Zagier in the elliptic case, we describe the non-ordinary locus of a genus-zero non-compact curve in a Hilbert modular variety in term…
Partial Hasse invariants for genus zero curves in Hilbert modular varieties
Gabriele Bogo, Yingkun Li
We construct characteristic-zero lifts of partial Hasse invariants for genus zero non-compact curves in Hilbert modular varieties. The construction is based on recent results on th…
Integrality of Picard-Fuchs differential equations of Kobayashi geodesics and applications
Gabriele Bogo
We prove that the holomorphic solutions of Picard-Fuchs differential equations associated with one-parameter families of abelian varieties with real multiplication admit power seri…
Laurent expansions of meromorphic modular forms
Gabriele Bogo, Yingkun Li, Markus Schwagenscheidt
In this paper, we study the Laurent coefficients of meromorphic modular forms at CM points by giving two approaches of computing them. The first is a generalization of the method o…
Span of Restriction of Hilbert Theta Functions
Gabriele Bogo, Yingkun Li
In this paper, we study the diagonal restrictions of certain Hilbert theta series for a totally real field , and prove that they span the corresponding space of elliptic modular…
Ramanujan systems of Rankin-Cohen type and hyperbolic triangles
Gabriele Bogo, Younes Nikdelan
In the first part of the paper we characterize certain systems of first order nonlinear differential equations whose space of solutions is an -module.…
Modular forms, deformation of punctured spheres, and extensions of symmetric tensor representations
Gabriele Bogo
Let~$X=\Po/Γ$ be an~-punctured sphere, . We introduce and study~ deformation operators on the space of modular forms~ based on the classical theory of uniformi…
Accessory Parameters for Four-Punctured Spheres
Gabriele Bogo
We study the accessory parameter problem for four-punctured spheres from the point of view of modular forms. The value of the accessory parameter giving the uniformization is chara…