Zero cycles on quadric hypersurfaces
Author:
Richard G. Swan
Journal:
Proc. Amer. Math. Soc. 107 (1989), 43-46
MSC:
Primary 14C25; Secondary 11E04
DOI:
https://doi.org/10.1090/S0002-9939-1989-0979219-2
MathSciNet review:
979219
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Abstract | References | Similar Articles | Additional Information
Abstract: Let 
be a projective quadric hypersurface over a field of characteristic not 2. It is shown that the Chow group 
of 0-cycles modulo rational equivalence is infinite cyclic, generated by any point of minimal degree.
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- [3] Richard G. Swan, Vector bundles, projective modules and the 𝐾-theory of spheres, Algebraic topology and algebraic 𝐾-theory (Princeton, N.J., 1983) Ann. of Math. Stud., vol. 113, Princeton Univ. Press, Princeton, NJ, 1987, pp. 432–522. MR 921488
- [4] Richard G. Swan, 𝐾-theory of quadric hypersurfaces, Ann. of Math. (2) 122 (1985), no. 1, 113–153. MR 799254, https://doi.org/10.2307/1971371
-theory of spheres, Proc. of the John Moore Conference, Algebraic Topology and Algebraic 
-Theory (W. Browder, ed.) Ann. of Math. Stud. 113 (1987), 432-522. 
-theory of quadric hypersurfaces, Ann. of Math. (2) 122 (1985), 113-153. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14C25, 11E04
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1989-0979219-2
Article copyright:
© Copyright 1989
American Mathematical Society
