How to Calculate Homology Groups of Spaces of Nonsingular Algebraic Projective Hypersurfaces

@inproceedings{VassilievHowTC,
  title={How to Calculate Homology Groups of Spaces of Nonsingular Algebraic Projective Hypersurfaces},
  author={V. A. Vassiliev}
}
A general method of computing cohomology groups of the space of non-singular algebraic hypersurfaces of degree d in CP n is described. Using this method, rational cohomology groups of such spaces with n = 2; d 4 and n = 3 = d are calculated. 

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Phasis

  • V I Arnold, Problems, Moscow
  • Phasis
  • 1999

Topology of complements of discriminants, Moscow: Phasis

  • V A Vassiliev
  • Topology of complements of discriminants, Moscow…
  • 1997

Complements of discriminants of smooth maps: topology and applications

  • V A Vassiliev
  • Providence RI: AMSTransl. of Math. Monographs
  • 1994

Lagrange and Legendre characteristic classes. 2nd edition

  • V A Vassiliev
  • Lagrange and Legendre characteristic classes. 2nd…
  • 1993

A geometric realization of the homology of classical Lie groups, and complexes, S-dual to the ag manifolds

  • V A Vassiliev
  • Algebra i AnalizRussian, English transl. in St…
  • 1991

Spaces of functions with mild singularities. Funct. Anal. and its Appl

  • V I Arnold
  • Spaces of functions with mild singularities…
  • 1989

Stable cohomology of complements of discriminants of singularities of smooth functions. Current Problems of Math., Newest Results

  • A Vassiliev
  • Itogi Nauki i TekhnikiRussian, English transl. in…
  • 1988

Rigid isotopy classiication of real plane curves of degree 5

  • M Kharlamov
  • Funct. Anal. and its Appl
  • 1981

Ann. of Math. Studies

  • W Milnor, J D Stashee, Characteristic Classes, Nj Princeton, Tokyo
  • Ann. of Math. Studies
  • 1974

Similar Papers

Loading similar papers…