Source: wikibot/homogeneous-coordinate-ring
= Homogeneous coordinate ring
{wiki=Homogeneous_coordinate_ring}
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\\).