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arxiv: 1710.06828 · v1 · pith:LDGSMJCGnew · submitted 2017-10-18 · 🧮 math.DG

Remarks on modified Ding functional for toric Fano manifolds

classification 🧮 math.DG
keywords dingfunctionalfanomanifoldsmodifiedbehaviorpseudo-boundednesstoric
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We give a characterization of relative Ding stable toric Fano manifolds in terms of the behavior of the modified Ding functional. We call the corresponding behavior of the modified Ding functional the pseudo-boundedness from below. We also discuss the pseudo-boundedness of the Ding / Mabuchi functional of general Fano manifolds.

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