Intersection of class fields
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Intersection of class fields. / Kühne, Lars.
In: Acta Arithmetica, Vol. 198, No. 2, 2021, p. 109-127.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Intersection of class fields
AU - Kühne, Lars
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
U2 - 10.4064/aa180717-9-6
DO - 10.4064/aa180717-9-6
M3 - Journal article
VL - 198
SP - 109
EP - 127
JO - Acta Arithmetica
JF - Acta Arithmetica
SN - 0065-1036
IS - 2
ER -
ID: 305404368