Lefschetz theorems on quasi-projective varieties
Bulletin de la Société Mathématique de France, Volume 113 (1985), pp. 123-142.
@article{BSMF_1985__113__123_0,
     author = {Hamm, Helmut A. and L\^e D\~{u}ng Tr\'ang},
     title = {Lefschetz theorems on quasi-projective varieties},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {123--142},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {113},
     year = {1985},
     doi = {10.24033/bsmf.2023},
     mrnumber = {87i:32017},
     zbl = {0602.14009},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2023/}
}
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Hamm, Helmut A.; Lê Dũng Tráng. Lefschetz theorems on quasi-projective varieties. Bulletin de la Société Mathématique de France, Volume 113 (1985), pp. 123-142. doi : 10.24033/bsmf.2023. http://www.numdam.org/articles/10.24033/bsmf.2023/

[A-F] Andreotti (A.) and Frankel (T.), The Lefschetz theorem on hyperplane sections, Ann. of Math., 69, 1959, pp. 713-717. | MR | Zbl

[C1] Chéniot (D.), Une démonstration du théorème de Zariski sur les sections hyperplanes d'une hypersurface projective et du théorème de Van Kampen sur le groupe fondamental du complémentaire d'une courbe projective plane, Compositio Math., Vol. 27, 1973, pp. 141-158. | EuDML | Numdam | MR | Zbl

[C2] Chéniot (D.), Un théorème du type de Lefschetz, Ann. Inst. Fourier, Vol. 25, No. 1, 1975, pp. 195-213. | EuDML | Numdam | MR | Zbl

[D] Deligne (P), Le groupe fondamental du complément d'une courbe plane n'ayant que des points doubles ordinaires est abélien (d'après W. Fulton), Séminaire Bourbaki, n° 543, Springer Lecture Notes, No. 842, 1981, pp. 1-10. | EuDML | Numdam | MR | Zbl

[F] Fulton (W.), Some aspects of positivity in algebraic geometry, to be published in the Proceedings of the 1982 International Congress of Mathematicians in Warsaw held in 1983. | Zbl

[F-L] Fulton (W.) and Lazarsfeld (R), Connectivity and its applications in algebraic geometry, Springer Lecture Notes No. 862, 1981, pp. 26-92. | MR | Zbl

[G-M] Goresky (M.) and Macpherson (R.), Stratified Morse theory, in A.M.S. Proc. of Symp. in Pure Math., Vol. 40, part 1, 1983, pp. 517-533. | MR | Zbl

[Gr] Grothendieck (A.), Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA2), Masson, Paris, North-Holland, Amsterdam, 1968. | MR | Zbl

[H1] Hamm (H. A.), Lefschetz theorems for singular varieties, in A.M.S. Proc. of Symp. in Pure Math., Vol. 40, part 1, 1983, pp. 547-557. | MR | Zbl

[H2] Hamm (H. A.), Zum Homotopietyp Steinscher Räume, J. Reine angew. Math., Vol. 338, 1983, pp. 121-135. | MR | Zbl

[H3] Hamm (H. A.), Lokale topologische Eigenschaften komplexer Räume, Math. Ann., Vol. 191, 1971, pp. 235-252. | MR | Zbl

[H-L] Hamm (H. A.), Lê (D. T.), Un théorème de Zariski du type de Lefschetz, Ann. Sc. Ec. Norm. Sup. [(4), 1973, pp. 317-366. | Numdam | MR | Zbl

[Hi] Hironaka (H.), Stratification and flatness, in Proc. Nordic Summer School, Real and Complex Singularities, Per Holm, Oslo, 1976, Sijthoff and Noordhoff Int. Publ., 1977, pp. 199-265. | MR | Zbl

[L] Lê (D. T.), Vanishing cycles on complex analytic spaces, Kokyuroku Series of Res. Inst. Math. Sc., Kyoto University, Proc. of Symp. on various problems in Algebraic Analysis, 1975, pp. 299-318.

[L-T1] Lê (D. T.) and Teissier (B.), Variétés polaires locales et classes de Chern des variétés singulières, Ann. Math., Vol. 114, 1981, pp. 457-491. | MR | Zbl

[L-T2] Lê (D. T.) and Teissier (B.), Cycles évanescents, sections planes et conditions de Whitney II, in A.M.S. Proc. of Symp. in Pure Math., Vol. 40, part 2, 1983, pp. 65-103. | MR | Zbl

[Ma] Mather (J.), Notes on topological stability, Harvard notes, 1970.

[M1] Milnor (J.), Morse theory, Ann. Math. Stud., No. 51, Princeton, 1963. | MR | Zbl

[M2] Milnor (J.), Singular points of complex hypersurfaces, Ann. Math. Stud., No. 61, Princeton, 1968. | MR | Zbl

[M3] Milnor (J.), Lectures on the h-cobordism theorem, Princeton Mathematical Notes, 1965. | MR | Zbl

[Mo] Morse (M.), The calculus of variations in the large, Amer. Math. Soc. Colloq. Pub., Vol. 18, 1934. | JFM | MR | Zbl

[P] Prill (D.), Local classification of quotients of complex manifolds by discontinuous groups, Duke Math. J., Vol. 34, 1967, pp. 375-386. | MR | Zbl

[S] Smale (S).., Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math., Vol. 74, 1961, pp. 391-406. | MR | Zbl

[Si] Siersma (D.), Singularities of functions on boundaries, corners, etc..., Quat. J. Math. Oxford Ser. (2), Vol. 32, 1981, pp. 119-127. | MR | Zbl

[Te] Teissier (B.)., Multiplicités polaires, sections planes et conditions de Whitney, Comptes rendus de la Conférence Internationale de La Rabida 1981, Springer Lecture Notes, No. 961, 1982, pp. 314-491. | MR | Zbl

[T] Thom (R.), Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc., Vol. 75, 1969, pp. 240-284. | MR | Zbl

[W] Whitney (H.), Tangents to an analytic variety, Ann. of Math., Vol. 81, 1965, pp. 496-549. | MR | Zbl

[Z] Zariski (O.), On the Poincaré group of projective hypersurface, Ann. Math., Vol. 38, 1937, pp. 131-141. | JFM | Zbl

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