Proof of the amplification principle 2

Abstract: In the previous talk, we proved several results on the Betti rank. In this talk, we will prove more generalized versions of these results. Then we will prove that the rank of Betti become maximal if we take enough iterated fibered products, under some mild conditions.

algebraic geometrynumber theory

Audience: advanced learners

( paper )

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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.

Spring 2024 topic: The contents of Serre, Lectures on the Mordell-Weil theorem

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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