Generalized Weierstrass kernels on the intersection of two complex hypersurfaces

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• 作者：Ferrari ; Franco
• 关键词：81T30 ; 30T99 ; Strings ; Weierstrass kernels ; Complex hypersurfaces ; Strings
• 刊名：Journal of Geometry and Physics
• 出版年：2002
• 期刊代码：29_03930440
• 类别：ph
• 出版时间：January, 2002
• 卷：40
• 期：3-4
• 页码：233-258
• 文件大小：164 K

摘要

On plane algebraic curves the so-called Weierstrass kernel plays the same role of the Cauchy kernel on the complex plane. A straightforward prescription to construct the Weierstrass kernel has been known for more than one century. How can it be extended to the case of more general curves obtained from the intersection of hypersurfaces in an n-dimensional complex space? This problem is solved in this work in the case n=3. As an application, the correlation functions of bosonic string theories are constructed on a canonical curve of genus four.