Papers › Geometry of the mirror models dual to the complete intersection of two cubics
Geometry of the mirror models dual to the complete intersection of two cubics
Mykola Pochekai
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We construct a natural crepant resolution of the Batyrev-Borisov mirror dual family to the complete intersection of two cubic hypersurfaces in ℙ⁵. It is, similarly to the mirrors of quintic threefolds, a family over ℙ¹ with singular fibers over the set {0, ∞} ∪μ₆. We compute an explicit height function producing the MPCP desingularization of the B-model toric ambient space. We compute the limiting mixed Hodge structures of the singular fibers. We show that the singular fiber over ∞ has maximal unipotent monodromy, whereas the singular fiber over 0 is of a new type compared to the quintic case.
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