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Nonnoetherian singularities and their no...
Beil, Charlie...

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Nonnoetherian singularities and their noncommutative blowups by Beil, Charlie ( Author )
Lemonjar Open Access
Australian National University
09-08-2023
We establish a new fundamental class of varieties in nonnoetherian algebraic geometry related to the central geometry of dimer algebras. Specifically, given an affine algebraic variety $X$ and a finite collection of non-intersecting positive dimensional algebraic sets $Y_i \subset X$, we construct a nonnoetherian coordinate ring whose variety coincides with $X$ except that each $Y_i$ is identified as a distinct positive dimensional closed point. We then show that the noncommutative blowup of such a singularity is a noncommutative desingularization, in a suitable geometric sense.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1607.07778
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