Matches in DBpedia 2015-10 for { ?s ?p "In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ringR = K[X0, X1, X2, ..., XN]/Iwhere I is the homogeneous ideal defining V, K is the algebraically closed field over which V is defined, andK[X0, X1, X2, ..., XN]is the polynomial ring in N + 1 variables Xi."@en }
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- Homogeneous_coordinate_ring comment "In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ringR = K[X0, X1, X2, ..., XN]/Iwhere I is the homogeneous ideal defining V, K is the algebraically closed field over which V is defined, andK[X0, X1, X2, ..., XN]is the polynomial ring in N + 1 variables Xi.".