4.2 Affine varieties (Commutative Algebra and Algebraic Geometry)

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How can we understand algebraic sets intrinsically?

This lecture is part of a master level course on Commutative Algebra and Algebraic Geometry.
Keywords: ringed spaces, affine varieties, structure sheaf, morphisms, pull-back, regular functions.
Lecturer: Seidon Alsaody, Uppsala University.
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Thank you very much! In my lectures i didnt understand much, but this video explained the topic perfectly

ilprincipe
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Would you like to explain how this setting is compatible with the def. that affine variety is the zero locus of polynomials over K generating a prime ideal in K[x_1, ..., x_n]?

kelvinchiu
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The big O notation is sometimes confusing. They are used sometimes to denote regular functions.

kelvinchiu