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arXiv · 1103.5811

Asymptotics of polybalanced metrics under relative stability constraints

Toshiki Mabuchi
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Abstract

Under the assumption of asymptotic relative Chow-stability for polarized algebraic manifolds $(M, L)$, a series of weighted balanced metrics $ω_m$, $m \gg 1$, 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.

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Toshiki Mabuchi. 2011-03-30. Asymptotics of polybalanced metrics under relative stability constraints. https://arxiv.org/abs/1103.5811

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