Abstract
We give a systematical construction of the blowup type test configuration, named the basic blowup type test configuration, for a toric polarized variety from a torus invariant prime divisor. If the barycenter of the associated polytope is not equal to the barycenter of its facets, then we can find a torus invariant prime divisor such that the Donaldson-Futaki invariant of the associated test configuration is negative.
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