3 papers
math.NT2026
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…
math.NT2026
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…
math.NT2025
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…