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arXiv · 1709.00998

Intersections of Class Fields

Lars Kühne
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Abstract

Using class field theory, we prove a restriction on the intersection of the maximal abelian extensions associated with different number fields. This restriction is then used to improve a result of Rosen and Silverman about the linear independence of Heegner points. In addition, it yields effective restrictions for the special points lying on an algebraic subvariety in a product of modular curves. The latter application is related to the André-Oort conjecture.

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Lars Kühne. 2017-11-27. Intersections of Class Fields. https://arxiv.org/abs/1709.00998

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