An extended Abel-Jacobi map

被引：6

作者：

Braden, H. W. ^{[2
]}

Fedorov, Yu. N. ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Math 1, E-08028 Barcelona, Catalunya, Spain

[2] Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2008年 / 58卷 / 10期

关键词：

Generalized Abel map; Theta functions; Integrability; Monopoles;

D O I：

10.1016/j.geomphys.2008.05.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We solve the problem of inversion of an extended Abel-Jacobi map integral(P1)(P0) omega + ... + integral(Pg+n-1)(P0) omega = Z, integral(P1)(P0) Omega(j1) + ... + integral(Pg+n-1)(P0) Omega(j1) = Z(j), j = 2.....n. where Omega(j1), are (normalized) Abelian differentials of the third kind. In contrast to the extensions already studied, this one contains meromorphic differentials having a common pole Q(1). This inversion problem arises in algebraic geometric description of monopoles, as well as in the linearization of integrable systems on finite-dimensional unreduced coadjoint orbits on loop algebras. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：1346 / 1354

页数：9

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