On the Étale K-Theory of an Elliptic Curve with Complex Multiplication for Regular Primes
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 145-150
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Generalizing a result of Soulé we prove that for an elliptic curve E defined over an imaginary quadratic field K with complex multiplication having good ordinary reduction at the prime number p > 3 which is regular for E and the extension F of K contained in K(Ep) the dimensions of the étale K-groups are equal to the numbers predicted by Bloch and Beilinson, i.e.,
Wingberg, Kay. On the Étale K-Theory of an Elliptic Curve with Complex Multiplication for Regular Primes. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 145-150. doi: 10.4153/CMB-1990-025-x
@article{10_4153_CMB_1990_025_x,
author = {Wingberg, Kay},
title = {On the {\'Etale} {K-Theory} of an {Elliptic} {Curve} with {Complex} {Multiplication} for {Regular} {Primes}},
journal = {Canadian mathematical bulletin},
pages = {145--150},
year = {1990},
volume = {33},
number = {2},
doi = {10.4153/CMB-1990-025-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-025-x/}
}
TY - JOUR AU - Wingberg, Kay TI - On the Étale K-Theory of an Elliptic Curve with Complex Multiplication for Regular Primes JO - Canadian mathematical bulletin PY - 1990 SP - 145 EP - 150 VL - 33 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-025-x/ DO - 10.4153/CMB-1990-025-x ID - 10_4153_CMB_1990_025_x ER -
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