Vojta's approach to the Mordell conjecture I

Abstract: We will sketch Bombieri's simplification of Vojta's proof.

References: Chapter 11 of Bombieri and Gubler, Heights in diophantine geometry, Cambridge University Press, 2006. and/or Part E of Hindry and Silverman, Diophantine geometry, Springer, 2000.

algebraic geometrynumber theory

Audience: advanced learners

( slides )

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STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Fall 2025 topic: Weil conjectures.

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.

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