A pr 2 00 9 LIMITS OF CALABI - YAU METRICS WHEN THE KÄHLER CLASS DEGENERATES
نویسنده
چکیده
We study the behaviour of families of Ricci-flat Kähler metrics on a projective Calabi-Yau manifold when the Kähler classes degenerate to the boundary of the ample cone. We prove that if the limit class is big and nef the Ricci-flat metrics converge smoothly on compact sets outside a subvariety to a limit incomplete Ricci-flat metric. The limit can also be understood from algebraic geometry.
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تاریخ انتشار 2009