Swan, Richard G. Zero cycles on quadric hypersurfaces. (English) Zbl 0718.14007 Proc. Am. Math. Soc. 107, No. 1, 43-46 (1989). Summary: Let X be a projective quadric hypersurface over a field of characteristic \(not\quad 2.\) It is shown that the Chow group \(A_ 0(X)\) of 0-cycles modulo rational equivalence is infinite cyclic generated by any point of minimal degree. Cited in 1 ReviewCited in 12 Documents MSC: 14C05 Parametrization (Chow and Hilbert schemes) 14C25 Algebraic cycles Keywords:quadric hypersurface; Chow group; 0-cycles; rational equivalence PDFBibTeX XMLCite \textit{R. G. Swan}, Proc. Am. Math. Soc. 107, No. 1, 43--46 (1989; Zbl 0718.14007) Full Text: DOI References: [1] William Fulton, Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 2, Springer-Verlag, Berlin, 1984. · Zbl 0541.14005 [2] T. Y. Lam, The algebraic theory of quadratic forms, W. A. Benjamin, Inc., Reading, Mass., 1973. Mathematics Lecture Note Series. · Zbl 0259.10019 [3] Richard G. Swan, Vector bundles, projective modules and the \?-theory of spheres, Algebraic topology and algebraic \?-theory (Princeton, N.J., 1983) Ann. of Math. Stud., vol. 113, Princeton Univ. Press, Princeton, NJ, 1987, pp. 432 – 522. [4] Richard G. Swan, \?-theory of quadric hypersurfaces, Ann. of Math. (2) 122 (1985), no. 1, 113 – 153. · Zbl 0601.14009 · doi:10.2307/1971371 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.