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math.AG2019
Deformation of rational singularities and Hodge structure
Matt Kerr, Radu Laza, Morihiko Saito
For a one-parameter degeneration of reduced compact complex analytic spaces of dimension , we prove the invariance of the frontier Hodge numbers (that is, with $pq(n{-…
math.AG2019
Hodge theory of degenerations, (I): Consequences of the decomposition theorem
Matt Kerr, Radu Laza
We use the Decomposition Theorem to derive several generalizations of the Clemens-Schmid sequence, relating asymptotic Hodge theory of a degeneration to the mixed Hodge theory of i…