9 papers
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…
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…
Motivic action conjecture for Doi-Naganuma lifts
Aleksander Horawa, Yingkun Li
We prove the motivic action conjecture for the base change to real quadratic fields of weight one newforms with odd, squarefree level and solvable projective image.
Hilbert Eisenstein series as Doi-Naganuma lift
Yingkun Li, Mingkuan Zhang
In this paper, we show that incoherent Hilbert Eisenstein series for a real quadratic fields can be expressed as the Doi-Naganums lift of an incoherent Eisenstein series over $\mat…
Isogenies of CM Elliptic Curves
Edgar Assing, Yingkun Li, Tian Wang +1
Given two CM elliptic curves over a number field and a natural number , we establish a polynomial lower bound (in terms of ) for the number of rational primes such that t…