Abstract:We construct the limiting mixed Hodge structure of a degeneration of compact Kähler manifolds over the unit disk with a possibly non-reduced normal crossing singular central fiber via holonomic D-modules, which generalizes some results of Steenbrink. Our limiting mixed Hodge structure does not carry a Q-structure; instead we use sesquilinear pairings on D-modules as a replacement. The associated graded quotient of the weight filtration of the limiting mixed Hodge structure can be computed by the cohomology of … Show more
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