Décompte dans une conjecture de Lang

By Gaël Rémond. 2000

61 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/7b47df23726c29b947996a5f7d0a6d9fbbd2fc3e

How researchers see this paper

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

In Computational Theory and Mathematics

1. Ziyang Gao
2. P. Habegger
3. Jonathan Pila
4. V. Dimitrov
5. Fabien Pazuki
6. Martin Widmer
7. Fabrizio Barroero
8. Jacob Tsimerman

In Geometry and Topology

1. Ziyang Gao
2. P. Habegger
3. Jonathan Pila
4. V. Dimitrov
5. Fabien Pazuki
6. Jacob Tsimerman
7. Fabrizio Barroero
8. Martin Widmer

In Sociology and Political Science

1. Ziyang Gao
2. P. Habegger
3. V. Dimitrov
4. Fabien Pazuki
5. Jonathan Pila

Citations in the corpus

• Theta height and Faltings height (2009, methodology): “elliptic curves, and was generalised by Silverman afterwards. As a matter of fact, if we combine the inequality of this conjecture with the work of David and Philippon [DaPh02] and the work of Rémond [Re00], we get a new explicit bound on the number of rational points on curves of genus g ≥ 2, provi”
• O-minimality and the André-Oort conjecture for $\mathbb{C}^{n}$ (2011, methodology): “Explicit uniform bounds for the number of special subvarieties in ML for an abelian variety (over Q) are given by Rémond [78].”
• Uniformity in Mordell–Lang for curves (2020, background): “Indeed, Rémond [Rém00a] made the Vojta and Mumford Inequalities explicit and obtained explicit upper bounds for the number of rational points on curves embedded in abelian varieties.”