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In this paper I consider three families of orders on the set of r-multipartitions of n, depending on r rational parameters. The one we areinterested in is a geometric order on the set of fixed points for a torusaction on the Gieseker variety. The other two serve as bounds for the geometricone, providing an almost accurate description.

Order on the Fixed Points of the Gieseker Variety With Respect to the Torus Action