On the Geometry of Moduli Space of Polarized Calabi-yau Manifolds
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چکیده
Let X be a compact Kähler manifold with zero first Chern class, and let L be an ample line bundle overX . The pair (X,L) is called a polarized Calabi-Yaumanifold. By Yau’s proof of the Calabi conjecture, we know such a manifold carries a unique Ricci flat metric compatable with the polarization (cf. [37]). Thus, the moduli space of such Ricci flat Kähler metrics is the moduli space of complex structures of (X,L).
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تاریخ انتشار 2006