A Note On Cohomology Over Non Algebraically Closed Fields

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Gamboa, J. M. (1999) A Note On Cohomology Over Non Algebraically Closed Fields. Bulletin Of The Australian Mathematical Society, 60 (1). pp. 67-72. ISSN 0004-9727

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Abstract

We 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.

Item Type:	Article
Uncontrolled Keywords:	Sheaf Of Regular Functions; First Cohomology Group; Algebraically Closed Fields
Subjects:	Sciences > Mathematics > Algebraic geometry
ID Code:	15328
Deposited On:	23 May 2012 08:41
Last Modified:	22 Aug 2018 10:05

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