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arXiv · 1202.6342

Iwasawa theory of Heegner points on abelian varieties of GL_2 type

Benjamin Howard
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Abstract

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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Benjamin Howard. 2012-02-28. Iwasawa theory of Heegner points on abelian varieties of GL_2 type. https://arxiv.org/abs/1202.6342

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