Variety Defined as the Closure of VCA

In course

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Description

This lecture covers the concept of variety defined as the closure of VCA, exploring its properties and applications in algebraic geometry. The instructor discusses the relationship between varieties and K-algebraic homomorphisms, emphasizing the importance of understanding the kernel and image under various transformations. The lecture delves into local rings and their significance in characterizing points within a variety. Through a series of examples and theoretical explanations, the instructor illustrates how to differentiate between different types of varieties and their corresponding structures.

Instructor

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Official source