Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: un théorème de finitude pour la torsion |
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| Authors: | Jean-Louis Colliot-Thélène Wayne Raskind |
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| Institution: | (1) CNRS, URA 752, Mathématiques, Université de Paris-Sud, Bâtiment 425, F-91405 Orsay, France;(2) Faculty of Science, Department of Mathematics, University of Tokyo, Hongo, 113 Tokyo, Japan;(3) Department of Mathematics, University of Arizona, 85721 Tucson, AZ, USA |
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| Abstract: | Summary LetX be a smooth, projective variety defined over a number field and let CH2 (X) denote the Chow group of codimension two cycles modulo rational equivalence. We show that if the cohomology groupH
2(X,Ox) vanishes then the torsion subgroup of CH2 (X) is a finite group. This result covers all previous results in this direction. The hypothesisH
2(X,Ox)=0 is used to lift line bundles.
Oblatum 17-IX-1990 |
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