Abstract
Affine space An has a natural compactification, the projective space ℙn, obtained by adding an infinitely distant point in every direction. The goal of this chapter is to introduce projective space and projective varieties and to interpret them as natural compactifications of affine varieties.
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© 2000 Springer Science+Business Media New York
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Smith, K.E., Kahanpää, L., Kekäläinen, P., Traves, W. (2000). Projective Varieties. In: An Invitation to Algebraic Geometry. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4497-2_3
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DOI: https://doi.org/10.1007/978-1-4757-4497-2_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3195-5
Online ISBN: 978-1-4757-4497-2
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