A semi-orthogonal decomposition over the generic fiber of a degeneration need not extend to a decomposition over the whole family, disproving the existence part of the valuative criterion for families of semi-orthogonal decompositions.
Krah, A phantom on a rational surface, A phantom on a rational surface, Invent
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A note on specializing semi-orthogonal decompositions
A semi-orthogonal decomposition over the generic fiber of a degeneration need not extend to a decomposition over the whole family, disproving the existence part of the valuative criterion for families of semi-orthogonal decompositions.