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Topics In Algebra Elementary Algebraic Geometry docx

Topics In Algebra Elementary Algebraic Geometry docx
... Topics In Algebra Elementary Algebraic Geometry David Marker Spring 2003 Contents Algebraically Closed Fields 2 Affine Lines and Conics 14 Projective Space 23 ... when a = b = In this case we just have the line Z = As this line contains no points of U , we think of it as the line at in nity Proposition 3.10 If p1 , p2 ∈ P2 (k) are distinct points, there ... holding if k is algebraically closed Intersecting Projective Lines and Curves At the beginning of this section we said that one of our reasons for passing to projective space was to show that lines...
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