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Diophantine Geometry Introductory Workshop: Some Effective Methods in the Context of the Mordell-Lang Conjecture

Presenter
February 7, 2023
SLMath
Keywords:
  • Diophantine approximation
  • Rational points on curves
  • anomalous intersections
  • elliptic curves
MSC:
  • 11D72
  • 14G05
Diophantine Geometry Introductory Workshop: Some Effective Methods in the Context of the Mordell-Lang Conjecture Thumbnail
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Abstract
I would like to present links between the Mordell-Lang and the Torsion Anoumalous conjectures. Then I intend to explain some methods to prove special cases that are effective or explicit. For some special families of curves, we manage to get all rational points.
Abstract