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RESEARCH PRODUCT

Quasi-Projective Varieties

Pekka KekäläinenKaren E. SmithWill TravesLauri Kahanpää

subject

AlgebraComputer scienceAffine spaceEmbeddingProjective spaceAlgebraic varietyAffine transformationVariety (universal algebra)Projective testProjective variety

description

We have developed the theory of affine and projective varieties separately. We now introduce the concept of a quasi-projective variety, a term that encompasses both cases. More than just a convenience, the notion of a quasi-projective variety will eventually allow us to think of an algebraic variety as an intrinsically defined geometric object, free from any particular embedding in affine or projective space.

https://doi.org/10.1007/978-1-4757-4497-2_4