Ezout ' S Theorem for Non - Commutative Projective Spaces
نویسندگان
چکیده
We prove a version of B ezout's theorem for non-commutative analogues of the projective spaces P n. 0. Introduction Throughout we work over an algebraically closed eld k. We establish a version of B ezout's Theorem for non-commutative projective spaces, quantum P n s for short. If Y is a quantum P n then the alternating sum of the dimension of the Ext-groups gives a bilinear form : K 0 (Y) K 0 (Y) ! Z The dimension and degree are deened in terms of intersection with \virtual linear subspaces" of Y (Deenition 8.4).
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