Chabauty for symmetric powers of curves

By Samir Siksek. 2009

52 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/07a57912d2476c54d49ef6abeb43af8995d9444b

How researchers see this paper

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

In Artificial Intelligence

1. Bao V. Le Hung
2. Nuno Freitas
3. Jennifer S. Balakrishnan
4. Netan Dogra

In Computational Theory and Mathematics

1. Nuno Freitas
2. Bao V. Le Hung
3. Samir Siksek

In Geometry and Topology

1. Nuno Freitas
2. Bao V. Le Hung
3. Samir Siksek
4. Netan Dogra
5. Jennifer S. Balakrishnan

Citations in the corpus

• Elliptic curves over real quadratic fields are modular (2013, methodology): “[69], [11]), using an explicit model for the curve and knowledge of the Mordell–Weil group of its Jacobian.”
• Explicit Chabauty over number fields (2010, methodology): “(b) The second is that the Chabauty–Coleman strategy can often be adapted to compute C(K), as in [6], [7], [31], [33], [34], [41], [58], and even the K-rational points on the symmetric powers of C [49].”