Upper Bounds for Regularized Determinants

被引：0
|
作者：
H. Gillet
C. Soulé
机构：
[1] Department of Mathematics,
[2] Statistics,undefined
[3] and Computer Science,undefined
[4] University of Illinois at Chicago,undefined
[5] 851 S. Morgan Street,undefined
[6] Chicago,undefined
[7] IL 60607-7045,undefined
[8] USA,undefined
[9] CNRS,undefined
[10] Institut des Hautes Études Scientifiques,undefined
[11] 35,undefined
[12] Route de Chartres,undefined
[13] 91440,undefined
[14] Bures-sur-Yvette,undefined
[15] France,undefined
来源：
Communications in Mathematical Physics | 1998年 / 199卷
关键词：
Manifold; Vector Bundle; Riemann Surface; Line Bundle; Laplace Operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We conjecture that the zeta-regularized determinant of the Laplace operator with coefficients in a holomorphic vector bundle on a compact Kähler manifold remains bounded when the metric on the bundle varies. This conjecture is shown to be true for certain classes of line bundles on Riemann surfaces.
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页码：99 / 115
页数：16
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