CM points on products of Drinfeld modular curves
Florian Breuer
Abstract
Let X be a product of Drinfeld modular curves over a general base ring A of odd characteristic. We classify those subvarieties of X which contain a Zariski-dense set of CM points. This is an analogue of the André-Oort conjecture. As an application, we construct non-trivial families of higher Heegner points on modular elliptic curves over global function fields.
Create a lesson
Related papers
Unit fraction representations using shifted Golomb primes
Rishika Agrawal
Improved deterministic integer factorization by quadratic-image sieving
Pantelimon Stănică
Private key sieves for improved attacks on RSA
Markus Hittmeir
Multiple q-zeta values as polynomials in partition multiplicities
Jan-Willem M. van Ittersum
Hopf-Galois Structures on Extensions Arising from Division Points on Elliptic Curves
Leolin Nkuete
Certified Collision Exclusion and an Unconditional Upper Bound Λ<0.156821 for the de Bruijn--Newman Constant
Michel Planat, Dale James Raymond