Naïve noncommutative blowing up
D. S. Keeler, D. Rogalski, and J. T. Stafford
Source: Duke Math. J. Volume 126, Number 3 (2005), 491-546.
Abstract
Let B(X,,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 X at c, but in this noncommutative setting, one
obtains a noncommutative ring R = R(X,c,
,σ) with
surprising properties.
Primary Subjects: 14A22, 16P40, 16W50
Secondary Subjects: 16S38, 18E15
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02154648
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