Iwasawa theory of Heegner points on abelian varieties of GL_2 type

Details Iwasawa theory of Heegner points on abelian varieties of GL_2 type Iwasawa theory of Heegner points on abelian varieties of GL_2 type

2012-02-28

arxiv.org/abs/1202.6342v1

Duke Math. J. 124, No. 1 (2004), 1-45

Mathematics

Number Theory

Scientific paper

In an earlier paper the author proved one divisibility of Perrin- Riou's Iwasawa main conjecture for Heegner points on elliptic curves. In the present paper, that result is generalized to abelian varieties of GL2-type (i.e. abelian varieties with real multiplication defined over totally real fields) under the hypothesis that the abelian variety is associated to a Hilbert modular form via a construction of Zhang.

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