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Asymptotics of polybalanced metrics under relative stability constraints

By Toshiki Mabuchi

Abstract

Under the assumption of asymptotic relative Chow-stability for polarized algebraic manifolds $(M, L)$, a series of weighted balanced metrics $\omega_m$, $m \gg 1$, called polybalanced metrics, are obtained from complete linear systems $|L^m|$ on $M$. Then the asymptotic behavior of the weights as $m \to \infty$ will be studied.Comment: to appear in Osaka J. Mat

Topics: Mathematics - Differential Geometry, Primary 14L24, Secondary 32Q20, 53C55
Year: 2011
OAI identifier: oai:arXiv.org:1103.5811
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