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Picard-Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities
Author:
C. H. Clemens
Journal:
Trans. Amer. Math. Soc. 136 (1969), 93-108
MSC:
Primary 14.01; Secondary 57.00
MathSciNet review:
0233814
Full-text PDF Free Access
References |
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Additional Information
- [1]
C. Clemens, Picard-Lefschetz theorem for families of algebraic varieties acquiring certain singularities, Doctoral Dissertation, Berkeley, Calif., 1966 (unpublished)(
).
- [2]
Robert
C. Gunning and Hugo
Rossi, Analytic functions of several complex variables,
Prentice-Hall Inc., Englewood Cliffs, N.J., 1965. MR 0180696
(31 #4927)
- [3]
S. Lefschetz, L'analysis situs et la géométrie algébrique, Gauthier-Villars, Paris, 1924.
- [4]
J. Milnor, Differentiable structures, Mimeographed notes, Princeton Univ., Princeton, N. J., 1961.
- [5]
Frédéric
Pham, Formules de Picard-Lefschetz
généralisées et ramification des
intégrales, Bull. Soc. Math. France 93 (1965),
333–367 (French). MR 0195868
(33 #4064)
- [6]
E. Picard and G. Simart, Théorie des fonctions algébrique de deux variables indépendantes. I, Gauthier-Villars, Paris, 1897; Chapitre IV.
- [7]
Norman
Steenrod, The Topology of Fibre Bundles, Princeton
Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J.,
1951. MR
0039258 (12,522b)
- [1]
- C. Clemens, Picard-Lefschetz theorem for families of algebraic varieties acquiring certain singularities, Doctoral Dissertation, Berkeley, Calif., 1966 (unpublished)(
).
- [2]
- R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N. J., 1965. MR 0180696 (31:4927)
- [3]
- S. Lefschetz, L'analysis situs et la géométrie algébrique, Gauthier-Villars, Paris, 1924.
- [4]
- J. Milnor, Differentiable structures, Mimeographed notes, Princeton Univ., Princeton, N. J., 1961.
- [5]
- F. Pham, Formules de Picard-Lefschetz généralisées et ramification des intégrales, Bull. Soc. Math. France 93 (1965), 333-367. MR 0195868 (33:4064)
- [6]
- E. Picard and G. Simart, Théorie des fonctions algébrique de deux variables indépendantes. I, Gauthier-Villars, Paris, 1897; Chapitre IV.
- [7]
- N. Steenrod, The topology of fibre bundles, Princeton Univ. Press, Princeton, N. J., 1951. MR 0039258 (12:522b)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1969-0233814-9
PII:
S 0002-9947(1969)0233814-9
Article copyright:
© Copyright 1969 American Mathematical Society
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