Comparison of Weil height and canonical height

Abstract: References: Sections B4-B5 in Hindry and Silverman, Diophantine geometry, Springer, 2000 and/or Chapter 3 of Serre, Lectures on the Mordell-Weil theorem, 3rd edition, Springer, 1997. Also, Theorem A of Silverman, Heights and the specialization map for families of abelian varieties, J. Reine Angew. Math. 342 (1983), 197–211.

algebraic geometrynumber theory

Audience: advanced learners

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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 2026 topic: Explicit class field theory.

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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