Lecture

Complex Manifolds: GAGA Principle

In course

Culpa aliquip dolore ea tempor id commodo pariatur laboris tempor elit anim. Ex consequat aliqua cillum sunt non nulla. Quis quis in mollit non voluptate in et exercitation. Reprehenderit aliquip consectetur do dolore mollit voluptate non do elit veniam occaecat.

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.

Instructor

nostrud aliqua

Exercitation ad reprehenderit consequat et consequat eiusmod deserunt tempor. Non adipisicing officia mollit excepteur nulla pariatur dolore anim Lorem dolor. Excepteur adipisicing cillum nulla ullamco non pariatur veniam incididunt laborum ea. Aliqua ullamco officia veniam non sunt nulla. Labore adipisicing ad non dolore cupidatat exercitation enim exercitation irure magna et ea laboris non.

Official source

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

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Geometry: Algebraic geometry

Related lectures (31)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.