Gamboa Mutuberria, José Manuel2023-06-202023-06-2019990004-972710.1017/S0004972700033335https://hdl.handle.net/20.500.14352/57266We characterise algebraically closed fields as those for which the first cohomology group tf^fc^On) of the sheaf On of regular functions over kn vanishes for all positive intergers n.engA Note On Cohomology Over Non Algebraically Closed Fieldsjournal articlehttp://journals.cambridge.org/download.php?file=%2FBAZ%2FBAZ60_01%2FS0004972700033335a.pdf&code=d528a7711http://www.cambridge.orgrestricted access512.7Sheaf Of Regular FunctionsFirst Cohomology GroupAlgebraically Closed FieldsGeometria algebraica1201.01 GeometrÃa Algebraica