Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces

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dc.creatorCerne, Miran
dc.date2002-09-24
dc.date.accessioned2026-07-07T04:51:11Z
dc.date.available2026-07-07T04:51:11Z
dc.descriptionLet S be a bordered Riemann surface with genus g and m boundary components. For a smooth family of smooth Jordan curves in the complex plane parametrized by the boundary of S and such that all curves contain 0 in their interior we show that there exists a holomorphic solution of the corresponding Riemann-Hilbert problem with at most 2g+m-1 zeros on S.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0209320
dc.identifierhttp://arxiv.org/abs/math/0209320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65056
dc.subjectComplex Variables
dc.subject30E25, 35Q15 (Primary) 32E20 (Secondary)
dc.titleNonlinear Riemann-Hilbert problem for bordered Riemann surfaces
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