Lecture

Local Rings and Residues

In course

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Description

This lecture covers the proof of theorem 4.2 on multiplicities, focusing on Lemmas 4.2 and the natural isomorphism between local rings. It discusses the finite set of points and the maximal ideal defining Pi, leading to the construction of idempotents. The lecture emphasizes the special structure of local rings at a simple point of a plane, as stated in Proposition t.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_iyfro640

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Mathematical logic: Set theory

Topology: Algebraic topology

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