Lecture

Complex Manifolds: GAGA Principle

In course

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Description

This lecture covers the GAGA principle, which states that for all projective varieties, any morphism is constant. The instructor explains how this phenomenon can be understood by the GAGA principle, assuming certain conditions. The lecture further discusses the structure of complex manifolds and how regular functions give rise to holomorphic functions. The maximum principle is introduced, emphasizing the constancy of holomorphic functions on compact spaces.

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Instructor

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Official source

https://mediaspace.epfl.ch/media/0_amweu6ld

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Ontological neighbourhood

Mathematics

Geometry: Algebraic geometry

Analysis: Complex analysis

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