The paper asserts an unproved principle that monodromy in degenerations turns rational Hodge classes into limits of algebraic cycles, then illustrates it with a K3 family whose central fiber is actually smooth, voiding the example.
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Constructive Degenerations and the Algebraicity of Limiting Hodge
The paper asserts an unproved principle that monodromy in degenerations turns rational Hodge classes into limits of algebraic cycles, then illustrates it with a K3 family whose central fiber is actually smooth, voiding the example.