Asymptotics of polybalanced metrics under relative stability constraints

Details Asymptotics of polybalanced metrics under relative stability constraints Asymptotics of polybalanced metrics under relative stability constraints

2011-03-30

arxiv.org/abs/1103.5811v1

Osaka J. Math. 48 (2011), 845--856

Mathematics

Differential Geometry

to appear in Osaka J. Math

Scientific paper

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.

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