Florian Breuer

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19972004

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math.NT2004

Images of isogeny classes on modular elliptic curves

Florian Breuer

Let K be a number field and E/K a modular elliptic curve, with modular parametrization $X_{0} (N) \to E$ defined over K. The purpose of this note is to study the images in E of classe…

math.NT2004

Monodromy Groups associated to Non-Isotrivial Drinfeld Modules in Generic Characteristic

Florian Breuer, Richard Pink

Let $ϕ$ be a non-isotrivial family of Drinfeld A-modules of rank r in generic characteristic with a suitable level structure over a connected smooth algebraic variety X. Suppose th…

math.NT2004

CM points on products of Drinfeld modular curves

Florian Breuer

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.…

math.NT2003

Higher Heegner points on elliptic curves over function fields

Florian Breuer

Let E be a modular elliptic curve defined over a rational function field k of odd characteristic. We construct a sequence of Heegner points on E, defined over a $Z_{p}^{\infty}$ -towe…

math.NT2003

The Andre-Oort conjecture for products of Drinfeld modular curves

Florian Breuer

Let $Z = X_{1} \times ... \times X_{n}$ be a product of Drinfeld modular curves. We characterize those algebraic subvarieties $X \subset Z$ containing a Zariski-dense set of CM points, i.e.…