K Energy and K Stability on Hypersurfaces
نویسنده
چکیده
In this paper, we study the limiting properties of the K energy for smooth hypersurfaces in the projective spaces. Our result generalizes the result of Ding-Tian ( W. Ding and G. Tian. KählerEinstein metrics and the generalized Futaki invariant. Invent Math, 110:315–335, 1992.) in the case of hypersurfaces. In particular, we allow the center fiber of a special degeneration (a degeneration by a one-parameter group) to have multiplicity great than 1. (Zhiqin Lu) Department of Mathematics, University of California, Irvine, Irvine, CA 92697 E-mail address, Zhiqin Lu: [email protected] Date: Aug 1st, 2001. 1991 Mathematics Subject Classification. Primary: 58G03; Secondary: 32F05.
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تاریخ انتشار 2001