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A differential form approach to the genus of Open Riemann surfaces

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 نشر من قبل Franco Vargas Pallete
 تاريخ النشر 2019
  مجال البحث
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We will show that any open Riemann surface $M$ of finite genus is biholomorphic to an open set of a compact Riemann surface. Moreover, we will introduce a quotient space of forms in $M$ that determines if $M$ has finite genus and also the minimal genus where $M$ can be holomorphically embedded.

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