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Homogeneous coordinate ring

 Home Mathematics Fields of mathematics Algebraic geometry Algebraic varieties
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The homogeneous coordinate ring is a mathematical construct used primarily in algebraic geometry and projective geometry. It provides a way to systematically handle projective space and the geometric objects that reside within it, such as points, lines, and higher-dimensional varieties. ### Definition Consider projective space \(\mathbb{P}^n\) over a field \(k\).

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