Iwasawa theory of Heegner points on abelian varieties of GL2 type

By Benjamin Howard. 2004

65 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7f38086a56afc411d9f2571addb03dee8f2134a3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Benjamin Howard
2. C. Cornut
3. V. Vatsal
4. Robert H. Pollack
5. Henri Darmon
6. Karl Rubin
7. T. Weston
8. Ming-Lun Hsieh

In Geometry and Topology

1. Benjamin Howard
2. C. Cornut
3. V. Vatsal
4. Robert H. Pollack
5. Henri Darmon
6. Karl Rubin
7. T. Weston
8. J. Nekovář

In Mathematical Physics

1. Benjamin Howard
2. V. Vatsal
3. C. Cornut
4. J. Nekovář
5. P. Michel
6. Robert H. Pollack
7. Karl Rubin
8. Henri Darmon

Citations in the corpus

• L -functions and Galois Representations: Nontriviality of Rankin-Selberg L -functions and CM points (2007, background): “11 This is the statement which is actually used in [17].”
• Variation of Heegner points in Hida families (2006, result): “Partial results toward Perrin-Riou’s conjecture have been obtained by Bertolini [1] and the author [12, 13].”