27 citations · 62 across the 19 of their papers we have counts for
4 papers · 1 filter
Lattices with skew-Hermitian forms over division algebras and unlikely intersections
Christopher Daw, Martin Orr
This paper has two objectives. First, we study lattices with skew-Hermitian forms over division algebras with positive involutions. For division algebras of Albert types I and II,…
Modular curves and their pseudo-analytic cover
Boris Zilber, Chris Daw
We find a natural -axiomatisation of a structure on the upper half-plane as the covering space of modular curves. The main theorem states that has a…
Canonical models of modular curves and the Galois action on CM-points
Boris Zilber, Chris Daw
We use the theory of canonical models of Shimura varieties to describe the projective limit of the curves Y(N), all N, and its automorphism group. In particular we prove that the G…
Effective computations for weakly optimal subvarieties
Gal Binyamini, Christopher Daw
Ren and the second author established that the weakly optimal subvarieties (e.g. maximal weakly special subvarieties) of a subvariety of a Shimura variety arise in finitely man…