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Naïve noncommutative blowing up

Naïve noncommutative blowing up

Let B(X,$\mathscr{L}$,σ) be the twisted homogeneous coordinate ring of an irreducible variety X over an algebraically closed field k with dim X ≥ 2. Assume that c ∈ X and σ ∈ Aut(X) are in sufficiently general position. We show that if one follows the commutative prescription for blowing up …