Generalized Weierstrass kernels on the intersection of two complex hypersurfaces

[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. (C) 2002 Elsevier Science B.V. All rights reserved.

[发布日期] 2002-01-01

[关键词] Weierstrass kernels;complex hypersurfaces;strings