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New invariants for complex manifolds and rational singularities

New invariants for complex manifolds and rational singularities

Two new invariants f .1;1/and g .1;1/were introduced by Du and Yau for solving the complex Plateau problem.These invariants measure in some sense how far away the complex manifolds are from having global complex coordinates.In this paper, we study these two invariants further for rational surface singularities.We prove that these …