Lefschetz theorems on quasi-projective varieties

 Access to full text

 Full (PDF)

1. [A-F] ANDREOTTI (A.) and FRANKEL (T.), The Lefschetz theorem on hyperplane sections, Ann. of Math., 69, 1959, pp. 713-717. Zbl0115.38405MR31 #1685
2. [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. Zbl0294.14010MR51 #3168
3. [C2] CHÉNIOT (D.), Un théorème du type de Lefschetz, Ann. Inst. Fourier, Vol. 25, No. 1, 1975, pp. 195-213. Zbl0332.14007MR52 #10738
4. [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. Zbl0478.14008MR83f:14026
5. [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. Zbl0611.14012
6. [F-L] FULTON (W.) and LAZARSFELD (R), Connectivity and its applications in algebraic geometry, Springer Lecture Notes No. 862, 1981, pp. 26-92. Zbl0484.14005MR83i:14002
7. [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. Zbl0526.57022MR84k:58017
8. [Gr] GROTHENDIECK (A.), Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA2), Masson, Paris, North-Holland, Amsterdam, 1968. Zbl0197.47202MR57 #16294
9. [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. Zbl0525.14011MR85d:32025
10. [H2] HAMM (H. A.), Zum Homotopietyp Steinscher Räume, J. Reine angew. Math., Vol. 338, 1983, pp. 121-135. Zbl0491.32010MR84i:32021
11. [H3] HAMM (H. A.), Lokale topologische Eigenschaften komplexer Räume, Math. Ann., Vol. 191, 1971, pp. 235-252. Zbl0214.22801MR44 #3357
12. [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. Zbl0276.14003MR53 #5582
13. [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. Zbl0424.32004MR58 #17187
14. [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. 
15. [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. Zbl0488.32004MR83k:32012a
16. [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. Zbl0532.32003MR86c:32005
17. [Ma] MATHER (J.), Notes on topological stability, Harvard notes, 1970. 
18. [M1] MILNOR (J.), Morse theory, Ann. Math. Stud., No. 51, Princeton, 1963. Zbl0108.10401MR29 #634
19. [M2] MILNOR (J.), Singular points of complex hypersurfaces, Ann. Math. Stud., No. 61, Princeton, 1968. Zbl0184.48405MR39 #969
20. [M3] MILNOR (J.), Lectures on the h-cobordism theorem, Princeton Mathematical Notes, 1965. Zbl0161.20302MR32 #8352
21. [Mo] MORSE (M.), The calculus of variations in the large, Amer. Math. Soc. Colloq. Pub., Vol. 18, 1934. Zbl0011.02802MR98f:58070JFM60.0450.01
22. [P] PRILL (D.), Local classification of quotients of complex manifolds by discontinuous groups, Duke Math. J., Vol. 34, 1967, pp. 375-386. Zbl0179.12301MR35 #1829
23. [S] SMALE (S).., Generalized Poincaré's conjecture in dimensions greater than four, Ann. of Math., Vol. 74, 1961, pp. 391-406. Zbl0099.39202MR25 #580
24. [Si] SIERSMA (D.), Singularities of functions on boundaries, corners, etc..., Quat. J. Math. Oxford Ser. (2), Vol. 32, 1981, pp. 119-127. Zbl0417.58002MR82m:58011
25. [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. Zbl0585.14008MR85i:32019
26. [T] THOM (R.), Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc., Vol. 75, 1969, pp. 240-284. Zbl0197.20502MR39 #970
27. [W] WHITNEY (H.), Tangents to an analytic variety, Ann. of Math., Vol. 81, 1965, pp. 496-549. Zbl0152.27701MR33 #745
28. [Z] ZARISKI (O.), On the Poincaré group of projective hypersurface, Ann. Math., Vol. 38, 1937, pp. 131-141. Zbl0016.04102JFM63.0621.03

1. Christophe Eyral, Profondeur homotopique et conjecture de grothendieck
2. Enrique Artal Bartolo, Topology of arrangements and position of singularities