Elliptic functions, Green functions and the mean field equations on tori

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51129

Title:	Elliptic functions, Green functions and the mean field equations on tori
Authors:	Lin,CS;Wang,CL
Contributors:	數學系
Keywords:	RIEMANN SURFACES
Date:	2010
Issue Date:	2012-03-27 18:22:38 (UTC+8)
Publisher:	國立中央大學
Abstract:	We show that the Green functions on flat tori can have either three or five critical points only. There does not seem to be any direct method to attack this problem. Instead, we have to employ sophisticated nonlinear partial differential equations to study it. We also study the distribution of the number of critical points over the moduli space of flat tori through deformations. The functional equations of special theta values provide important inequalities which lead to a solution for all rhombus tori.
Relation:	ANNALS OF MATHEMATICS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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