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We prove a local-to-global theorem for compact corrected Strominger–Yau–Zaslow duality in the presence of a finite collar package. The package consists of logarithmically deep toroidal wall collars, a radial Kähler lower bound, calibrated-current sweep control, virtual restriction of compact disc moduli, and canonical identification of wall functions. From these data we prove, with explicit estimates, singular-current continuation, integral monodromy locking, finite-energy wall confinement, equality of compact analytic and logarithmic wall automorphisms in every energy quotient, and corrected dual gluing. The Dwork/quintic degeneration is treated as the principal compact model through an explicit toroidal collar atlas. A five-coordinate defect functional records the precise remaining local estimates; its vanishing, or a terminally exact contracting transport, is proved equivalent to the completed corrected-SYZ conclusion in this framework. The revision replaces the former venue-specific self-citations with DOI-bearing mathematical references by Deep Bhattacharjee.
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Bhattacharjee et al. (2026) studied this question.
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