59 citations · 137 across the 24 of their papers we have counts for
25 papers
Bézout's theorem for abelian varieties
Olivier Debarre, Ben Moonen
Let , be closed irreducible subvarieties of an absolutely simple abelian variety of dimension over a field. If , we prove that the addition morp…
Integral aspects of Fourier duality for abelian varieties
Junaid Hasan, Hazem Hassan, Milton Lin +3
We prove several results about integral versions of Fourier duality for abelian schemes, making use of Pappas's work on integral Grothendieck-Riemann-Roch. If is smooth quasi-p…
A remark on the paper of Deninger and Murre
Ben Moonen
We show that the results proven by Deninger and Murre directly imply that the Chern classes of the de Rham bundle of an abelian scheme are torsion elements in the Chow ring, a resu…
A classification of Shimura curves in
Ben Moonen
We give a precise classification, in terms of Shimura data, of all 1-dimensional Shimura subvarieties of a moduli space of polarized abelian varieties.
The Tate Conjecture for even dimensional Gushel-Mukai varieties in characteristic
Lie Fu, Ben Moonen
We study Gushel-Mukai (GM) varieties of dimension 4 or 6 in characteristic . Our main result is the Tate conjecture for all such varieties over finitely generated fields of char…
Algebraic cycles on Gushel-Mukai varieties
Lie Fu, Ben Moonen
We study algebraic cycles on complex Gushel-Mukai (GM) varieties. We prove the generalised Hodge conjecture, the (motivated) Mumford-Tate conjecture, and the generalised Tate conje…