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17. Questions about GK 3 graded domains


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      Problem 17.1.

      [Sue Sierra] Let $A$ be a graded domain of GK dimension 3. Must $A$ have a positive dimensional space of points? Must $A$ have any points? What about fat points instead?


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          Problem 17.2.

          [Sue Sierra] Does $D = Q_{\text{gr}}(A)_0$ necessarily have a valuation?


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              Problem 17.3.

              [Michel van den Bergh] Is $Z(A)$ necessarily nontrivial?


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                  Problem 17.4.

                  [Michel van den Bergh] Does every GK 2 module map to a fat point?

                      Cite this as: AimPL: Noncommutative surfaces and Artin's conjecture, available at http://aimpl.org/ncsurfaceartin.