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math.AG2010
Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling
Kefeng Liu, Andrey Todorov, Shing-Tung Yau +1
We give a simplified and more algebraic proof of the finiteness of the families of Calabi-Yau n-folds with non-vanishing of Yukawa-coupling over a fixed base curve and with fixed d…
math.AG2010★ 2 cited
Canonical Class Inequality for Fibred Spaces
Jun Lu, Sheng-Li Tan, Kang Zuo
We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of 3-folds…