Lecture

Field of Rational Functions

In course

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Description

This lecture delves into the construction of the field of rational functions on a variety, defining it as pairs of subsets and regular functions modulo a recurrence relation. The instructor explains the equivalence relation, the well-defined operations, and the field structure. The lecture also explores the connection with local rings, the dimension of algebraic varieties, and the implications for affine varieties.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_0d7nql26

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

Geometry: Algebraic geometry

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