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In this note, we will show that delta invariant of a log Fano pair can beapproximated by lc places of complements of plt type if it is no greater thanone. Give a log Fano pair with delta invariant no greater than one, under theassumption that delta invariant of the log Fano pair can be approximated by lcplaces of bounded complements of plt type, we show the existence of thedivisorial valuation computing delta invariant of this log Fano pair.

Approximating delta invariants in the sense of complements of plt type