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 |
|---|---|
| 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 10:41 |
| Last Modified: | 23 May 2012 10:41 |
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