DVR and Irreducible Plane Curves

In course

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Description

This lecture covers the concept of Discrete Valuation Rings (DVR) and their application to irreducible plane curves. It explains how to determine if a point on a plane curve is simple, and how to calculate the order on the function field. The lecture also delves into the proof of Corollary 4.4, showcasing the properties of DVRs and their role in the algebraic structure of plane curves.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_thfxdfvo

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Geometry: Algebraic geometry

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Educational stages: Higher education

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