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Some remarks on Yau’s conjecture and complex plateau problem

Some remarks on Yau’s conjecture and complex plateau problem

The invariant g (1,1) was introduced by Du and Yau for solving the complex Plateau problem.In this paper, we prove that this invariant never vanishes for any minimal elliptic surface singularity, which confirms Yau's conjecture for the strictly positivity of g (1,1) .We also show that this invariant can be …