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Meromorphic Differentials Restricted by Real Behavior Spaces 米谷, 文男 MAITANI, Fumio open access Riemann surfaces meromorphic differentials Riemann-Roch theorem Abel's theorem 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. Memoirs of the Faculty of Engineering and Design, Kyoto Institute of Technology, Series of Science and Technology, Vol.41(1992) pp.1-16 Submitted by 附属図書館 KIT-Repository (dspace-admin@jim.kit.ac.jp) on 2009-04-07T07:08:55Z No. of bitstreams: 1 maitani-1992.pdf: 702807 bytes, checksum: c1820cc17dee4ed512e2363c43b524bb (MD5) Made available in DSpace on 2009-04-07T07:08:55Z (GMT). No. of bitstreams: 1 maitani-1992.pdf: 702807 bytes, checksum: c1820cc17dee4ed512e2363c43b524bb (MD5) Previous issue date: 1993-03 1993-03 eng journal article VoR http://hdl.handle.net/10212/1908 https://kit.repo.nii.ac.jp/records/2000740 Memoirs of the Faculty of Engineering and Design, Kyoto Institute of Technology, Series of Science and Technology 41 1 16 https://kit.repo.nii.ac.jp/record/2000740/files/maitani-1992.pdf application/pdf 686.3 KB