On the homology and cohomology of complete intersections with isolated singularities

Alexandru Dimca

Compositio Mathematica (1986)

  • Volume: 58, Issue: 3, page 321-339
  • ISSN: 0010-437X

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Dimca, Alexandru. "On the homology and cohomology of complete intersections with isolated singularities." Compositio Mathematica 58.3 (1986): 321-339. <http://eudml.org/doc/89773>.

@article{Dimca1986,
author = {Dimca, Alexandru},
journal = {Compositio Mathematica},
keywords = {unimodular bilinear discriminant form; complete intersection projective variety with isolated singular points; Milnor lattice},
language = {eng},
number = {3},
pages = {321-339},
publisher = {Martinus Nijhoff Publishers},
title = {On the homology and cohomology of complete intersections with isolated singularities},
url = {http://eudml.org/doc/89773},
volume = {58},
year = {1986},
}

TY - JOUR
AU - Dimca, Alexandru
TI - On the homology and cohomology of complete intersections with isolated singularities
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 58
IS - 3
SP - 321
EP - 339
LA - eng
KW - unimodular bilinear discriminant form; complete intersection projective variety with isolated singular points; Milnor lattice
UR - http://eudml.org/doc/89773
ER -

References

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  2. [2] N. Bourbaki: Groupes et Algébre de Lie. Chap. IV, V, VI, Paris (1968). 
  3. [3] E. Brieskorn: Beispiele zur Differentialtopologie von Singularitäten. Invent. math.2 (1966) 1-14. Zbl0145.17804MR206972
  4. [4] J.W. Bruce and C.T.C. Wall: On the classification of cubic surfaces. J. London Math. Soc.19 (1979) 245-256. Zbl0393.14007MR533323
  5. [5] J.W. Bruce: A stratification of the space of cubic surfaces. Math. Proc. Camb. Phil. Soc.87 (1980) 427-441. Zbl0434.58009MR556923
  6. [6] S.V. Chmutov: Monodromy groups of critical points of functions. Invent. math.67 (1982) 123-131. Zbl0468.57024MR664328
  7. [7] A. Dimca: On isolated singularities of complete intersections. J. London Math. Soc. (2) 31, (1985) 401-406. Zbl0532.14022MR812768
  8. [8] I. Dolgachev: Integral quadratic forms: applications to algebraic geometry. Sém. Bourbaki, 35e année, 1982/1983, no. 611 (1983). Zbl0535.10018
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  10. [10] S.M. Gusein-Zade: The monodromy groups of isolated singularities of hypersurfaces. Russian math. Surveys32 (1977) 23-69. Zbl0379.32013MR476738
  11. [11] H.A. Hamm: Lokale topologische Eigenschaften Komplexer Räume. Math. Ann.191 (1971) 235-252. Zbl0214.22801MR286143
  12. [12] H.A. Hamm: Exotische Sphären als Umgebungsränder in speziellen Komplexen Räumen. Math. Ann.197 (1972) 44-56. Zbl0239.14003MR314073
  13. [13] F. Hirzebruch: Topological Methods in Algebraic Geometry. Berlin-Heidelberg-New York, Springer-Verlag (1966). Zbl0138.42001MR202713
  14. [14] H. Knörrer: Isolierte Singularitäten von Durchschnitten zweier Quadriken. Bonner Math. Schriften, No. 117 (1980). Zbl0457.14003MR578773
  15. [15] A.S. Libgober and J.W. Wood: On the topological structure of even-dimensional complete intersections. Trans. Amer. Math. Soc.267 (1981) 637-660. Zbl0475.57013MR626495
  16. [16] E.J.N. Looijenga: Isolated singular points on complete intersections. L.M.S. Lecture Note Series 77, Cambridge, Cambridge University Press (1984). Zbl0552.14002MR747303
  17. [17] V. Nikulin: Integral symmetric bilinear forms and some of their applications, Izv. Acad. Nauk. USSR43 (1979) 111-177. Zbl0408.10011MR525944
  18. [18] C.T.C. Wall: Finite determinacy of smooth map-germs. Bull. London Math. Soc.13 (1981) 481-539. Zbl0451.58009MR634595

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