4 Result(s)
within
Mao Sheng
Mathematics, general
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Article
A Global Torelli Theorem for Certain Calabi-Yau Threefolds
We establish a global Torelli theorem for the complete family of Calabi-Yau threefolds arising from cyclic triple covers of $${{\mathbb {P}}}^...
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Article
Maximal Families of Calabi–Yau Manifolds with Minimal Length Yukawa Coupling
For each natural odd number n≥3, we exhibit a maximal family of n-dimensional Calabi–Yau manifolds whose Yukawa coupling length is 1. As a consequence, Shafarevich’s conjecture holds true for these families. More...
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Article
On the monodromy of the moduli space of Calabi–Yau threefolds coming from eight planes in \({\mathbb{P}^3}\)
It is a fundamental problem in geometry to decide which moduli spaces of polarized algebraic varieties are embedded by their period maps as Zariski open subsets of locally Hermitian symmetric domains. In the p...
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Article
Polarized variation of Hodge structures of Calabi–Yau type and characteristic subvarieties over bounded symmetric domains
In this paper, we extend the construction of the canonical polarized variation of Hodge structures over tube domain considered by Gross (Math Res Lett 1:1–9, 1994) to bounded symmetric domain and introduce a s...
