Surfaces with zero Lefschetz cycles. (English. Russian original) Zbl 0275.14019
Math. Notes 13, 520-525 (1973); translation from Mat. Zametki 13, 869-880 (1973).
MSC:
| 14E25 | Embeddings in algebraic geometry |
| 14D05 | Structure of families (Picard-Lefschetz, monodromy, etc.) |
| 14J25 | Special surfaces |
| 14C25 | Algebraic cycles |
References:
| [1] | M. Kh. Gizatullin, ?On affine surfaces that can be completed by a nonsingular rational curve,? Izv. Akad. Nauk SSSR, Ser. Matem.,34, No. 4, 778-802 (1970). |
| [2] | P. Deligne, A. Grothendieck, and N. Katz, ?Théorémes de monodromie,? SGA VII (2) (1973); to appear in: Lecture Notes in Mathematics. |
| [3] | I. V. Dolgachev, ?On the purity of degeneration loci of families of curves,? Invent. Math.,8, No. 1, 34-54 (1969). · Zbl 0176.18503 · doi:10.1007/BF01418869 |
| [4] | A. B. Zhizhenko, ?Homology groups of algebraic varieties,? Izv. Akad. Nauk SSSR, Ser. Matem.,25, No. 6, 765-788 (1961). |
| [5] | J. Milnor, Singular Points of Complex Hypersurfaces, Princeton University Press, Princeton (1968). · Zbl 0184.48405 |
| [6] | B. G. Moishezon, ?Algebraic homology classes on algebraic varieties,? Izv. Akad. Nauk SSSR, Ser. Matem.,31, No. 2, 225-268 (1967). |
| [7] | G. N. Tyurina, ?The topological properties of isolated singularities of complex spaces of codimension 1,? Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 3, 605-620 (1968). · Zbl 0176.50901 |
| [8] | I. R. Shafarevich, Lectures on Minimal Models and Birational Transformations of Two-Dimensional Schemes, Bombay (1966). · Zbl 0164.51704 |
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