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In algebraic geometry, a cone is a generalization of a vector bundle. Specifically, given a scheme X, the relative Spec
of a quasi-coherent graded OX-algebra R is called the cone or affine cone of R. Similarly, the relative Proj
is called the projective cone of C or R.
Note: The cone comes with the G m {\displaystyle \mathbb {G} _{m}} -action due to the grading of R; this action is a part of the data of a cone.
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