3 problems
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Pairwise-intersection conjecture for Brauer loop components
Pairwise-intersection conjecture. If the equations of the component description above define , then equals the intersection of any pair among
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Normality conjecture for components of the Brauer loop scheme
Normality conjecture. The variety is normal.
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Conjecture that the rank and square-zero equations define Brauer loop components
The defining-equations conjecture. These equations define .