Meromorphic Differentials Restricted by Real Behavior Spaces

2009-04-07T07:08:55Z

2009-04-07T07:08:55Z

1993-03

This study deals with meromorphic differentials whose boundary behaviors are restricted by the real behavior spaces introduced by Shiba, but have no assumption of semiexactness, and no period condition. We show their extremal properties, and reciprocal properties of the first, second and third kind of fundamental differentials with our boundary behavior. In this context we shall formulate the Riemann-Roch and Abel type theorems on general open Riemann surfaces, which allow infinite divisors.

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Memoirs of the Faculty of Engineering and Design, Kyoto Institute of Technology, Series of Science and Technology, Vol.41(1992) pp.1-16

http://hdl.handle.net/10212/1908

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