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On singular projective structures on Riemann surfaces

โœ Scribed by F Baldassarri; B Dwork; F Tovena


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
580 KB
Volume
80
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES


Projective structures on a Riemann surfa
โœ Indranil Biswas; A.K. Raina ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

In earlier work we developed an algebraic geometric approach to the notion of a projective structure on a compact Riemann surface and obtained various equivalent descriptions. This was motivated by Mathematical Physics, viz. conformal field theory, which also motivated the subsequent generalisation

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We discuss a class of solutions to the Ernst equation (the stationary axisymmetric Einstein equations) obtained as solutions of a generalized scalar Riemann-Hilbert problem on a hyperelliptic Riemann surface. The singular structure of these solutions is studied for arbitrary genus of the Riemann sur