A Sequence of Behavior Spaces and the Structure of　Its Convergent Space

2008-05-14T05:01:37Z

2008-05-14T05:01:37Z

2006-03-31

The concept of behavior spaces introduced by Shiba plays an　important role of systematic investigation of abelian differentials　on an open Riemann surface. A behavior space consists of holomorphic　differentials which satisfy a certain period condition and boundary　behavior. For a Riemann surface of infinite genus, the existence of　behavior spaces with a general period condition is not guaranteed.　For the sake of this thesis we consider a sequence of behavior space　and the convergence. The result is a steppingstone to the thesis.

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京都工芸繊維大学　工芸学部研究報告　第５４巻　理工・欧文(2005) pp.31-58

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http://hdl.handle.net/10212/1718

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