Algebraic geometry of projective spaces | Wikipedia audio article

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00:00:16 1 Homogeneous polynomial ideals
00:01:47 2 Construction of projectivized schemes
00:04:26 3 Divisors and twisting sheaves
00:06:10 3.1 Classification of vector bundles
00:07:48 3.2 Important line bundles
00:10:04 4 Morphisms to projective schemes
00:13:32 4.1 An example: the Veronese embeddings
00:14:31 5 Curves in projective spaces
00:14:54 6 See also
00:15:04 6.1 General algebraic geometry
00:15:22 6.2 General projective geometry



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SUMMARY
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Projective space plays a central role in algebraic geometry. The aim of this article is to define the notion in terms of abstract algebraic geometry and to describe some basic uses of projective space.