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Joins of schemes, linear projections. (English) Zbl 0337.14004


MSC:

14A15 Schemes and morphisms
14E99 Birational geometry
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References:

[1] A. Altman and S. Kleiman : A Divisorial Cycle Acquiring an Embedded Component under a Flat Specialization (to appear). · Zbl 0319.14001
[2] C. Chevalley : Les classes d’équivalence rationnelle (I et II) . Séminaire C. Chevalley, 2e Année: 1958, Anneaux de Chow et Applications , exp 2, 14 pp and exp 3, 18 pp, Secrétariat Mathématique, Paris, 134 pp (mimeographed). · Zbl 0098.13101
[3] W.L. Chow : On Equivalence Classes of Cycles in an Algebraic Variety. Annals of Mathematics v. 64 (1956) 450-479. · Zbl 0073.37304 · doi:10.2307/1969596
[4] A. Grothendieck and J. Dieudonné : Eléments de Géometrie Algébrique I Springer-Verlag (1971) (cited EGA I). · Zbl 0203.23301
[5] A. Grothendieck and J. Dieudonné : Eléments de Géométrie Algébrique . Publ. Math. No. 8, IHES, (1961) (cited EGA II). | · Zbl 0203.23301
[6] A. Holme : Embedding-obstruction for algebraic varieties I . University of Bergen, Norway, Preprint No. 1. · Zbl 0456.14009
[7] N. Katz : Etude cohomologique des pinceaux de Lefschetz, Expose XVIII, SGA 7 II . Lecture Notes in Math No. 340, Springer-Verlag (1973) especially Sec. 3.1, p. 267. · Zbl 0284.14007
[8] S. Kleiman : Geometry on Grassmannians and Applications to Splitting Bundles and Smoothing Cycles . Publ. Math. No. 36, IHES, (1969) pp. 281-298. · Zbl 0208.48501 · doi:10.1007/BF02684605
[9] A. Lascu and D. Scott : An Algebraic Correspondence with Applications to Projective Bundles and Blowing-Up Chern Classes . (to appear in Annali di Matematica, Pura ed Applicata). · Zbl 0296.14009 · doi:10.1007/BF02410592
[10] J. Roberts : Chow’s Moving Lemma . Algebraic Geometry , Oslo 1970, Wolters-Noordhoff Publishing. Groningen, (1972) 89-96.
[11] P. Samuel : Rational Equivalence of Arbitrary Cycles. American Journal of Mathematics, v 78 (1956) 383-400. · Zbl 0075.16002 · doi:10.2307/2372522
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