Abstract
We explore an analogue of the André–Oort Conjecture for subvarieties of Drinfeld modular varieties. The conjecture states that a subvariety X of a Drinfeld modular variety contains a Zariski-dense set of complex multiplication (CM) points if and only if X is a “special” subvariety (i.e. X is defined by requiring additional endomorphisms). We prove this conjecture in two cases: firstly when X contains a Zariski-dense set of CM points all of which lie in one Hecke orbit, and secondly when X is a curve containing infinitely many CM points without any additional assumptions.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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