Singular Complex Manifolds and the Existence of Lagrangian Cycles https://arxiv.org/abs/2411.16764 #mathDG
We introduce a new class of singular complex manifolds and we develop a degenerate Kodaira-Hodge theory for this class of singular manifolds. As an application we prove the existence of Lagranien cycles which do not meet the canonical divisor in complex surfaces of general type.
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