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Calabi-Yau manifolds realizing symplecti...
Doran, Charles F....

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Calabi-Yau manifolds realizing symplectically rigid monodromy tuples by Doran, Charles F. ( Author )
Lemonjar Open Access
N.A
25-03-2015
We define an iterative construction that produces a family of elliptically fibered Calabi-Yau n-folds with section from a family of elliptic Calabi-Yau varieties of one dimension lower. Parallel to the geometric construction, we iteratively obtain for each family with a point of maximal unipotent monodromy, normalized to be at t=0, its Picard-Fuchs operator and a closed-form expression for the period holomorphic at t=0, through a generalization of the classical Euler transform for hypergeometric functions. In particular, our construction yields one-parameter families of elliptically fibered Calabi-Yau manifolds with section whose Picard-Fuchs operators realize all symplectically rigid Calabi-Yau differential operators with three regular singular points classified by Bogner and Reiter, but also non-rigid operators with four singular points.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1503.07500
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