Intersection of class fields
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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.
Original language | English |
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Journal | Acta Arithmetica |
Volume | 198 |
Issue number | 2 |
Pages (from-to) | 109-127 |
ISSN | 0065-1036 |
DOIs | |
Publication status | Published - 2021 |
ID: 305404368