CM points and quaternion algebras

By C. Cornut, V. Vatsal. Documenta Mathematica, 2005

70 citations recorded by the source corpus.

This paper provides a proof of a technical result (Corol- lary 2.10 of Theorem 2.9) which is an essential ingredient in our proof of Mazur's conjecture over totally real number fields (3).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b207f2e0479af69a85002daf7c3b105217df71b8

How researchers see this paper

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

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

• Variation of Heegner points in Hida families (2006, methodology): “The precise result, Corollary 3.1.2, is actually somewhat stronger and extends Cornut and Vatsal’s proof of Mazur’s conjecture on the nonvanishing of Heegner points from the case of modular forms of weight two and trivial character to all ordinary modular forms.”
• L -functions and Galois Representations: Nontriviality of Rankin-Selberg L -functions and CM points (2007, methodology): “Further topics are discussed in Section 3 of [5].”