Proves Shokurov's global index conjecture for foliations on varieties of dimension at most three.
Jiang, A gap theorem for minimal log discrepancies of non-canonical singularities in dimension three, J
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The minimal volume of stable surfaces of rank one is determined with uniqueness up to isomorphism, resolving a conjecture of Alexeev and the second author.
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Shokurov's global index conjecture for threefold foliations
Proves Shokurov's global index conjecture for foliations on varieties of dimension at most three.
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The minimal volume of stable surfaces of rank one
The minimal volume of stable surfaces of rank one is determined with uniqueness up to isomorphism, resolving a conjecture of Alexeev and the second author.