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The delta invariant and the various GIT-stability notions of toric Fano varieties

The delta invariant and the various GIT-stability notions of toric Fano varieties

Abstract In this paper, we provide purely combinatorial proofs of the following two theorems: (1) If a Gorenstein toric Fano variety is asymptotically Chow semistable then it is Ding polystable with respect to toric test configurations. (2) For a smooth toric Fano variety X, the delta invariant δ(X) defined in …