Gamboa Mutuberria, José Manuel
(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 |
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Uncontrolled Keywords: | Sheaf Of Regular Functions; First Cohomology Group; Algebraically Closed Fields |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 15328 |

References: | R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics 52 (Springer-Verlag,Berlin, Heidelberg, New York, 1977). J.P. Serre,'Faisceaux algebriques coherents', Ann. of Math. Stud. 61 (1955), 197-258. 72 J.M. A. Tognoli, 'Some basic facts in algebraic geometry on a non algebraically closed field', Ann. Scuola Normal Sup. Pisa Cl. Sci. 3 (1976), 341-359. |

Deposited On: | 23 May 2012 08:41 |

Last Modified: | 06 Feb 2014 10:22 |

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