The Resultant on Compact Riemann Surfaces

被引：0
作者：
Björn Gustafsson
Vladimir G. Tkachev
机构：
[1] KTH,Mathematical Department
[2] Volgograd State University,Mathematical Department
来源：
Communications in Mathematical Physics | 2009年 / 286卷
关键词：
Riemann Surface; Meromorphic Function; Toeplitz Operator; Compact Riemann Surface; Admissible Pair;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce a notion of the resultant of two meromorphic functions on a compact Riemann surface and demonstrate its usefulness in several respects. For example, we exhibit several integral formulas for the resultant, relate it to potential theory and give explicit formulas for the algebraic dependence between two meromorphic functions on a compact Riemann surface. As a particular application, the exponential transform of a quadrature domain in the complex plane is expressed in terms of the resultant of two meromorphic functions on the Schottky double of the domain.
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页码：313 / 358
页数：45
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