The cylinder homomorphism associated to quintic fourfolds

James D. Lewis

Compositio Mathematica (1985)

  • Volume: 56, Issue: 3, page 315-329
  • ISSN: 0010-437X

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Lewis, James D.. "The cylinder homomorphism associated to quintic fourfolds." Compositio Mathematica 56.3 (1985): 315-329. <http://eudml.org/doc/89743>.

@article{Lewis1985,
author = {Lewis, James D.},
journal = {Compositio Mathematica},
keywords = {rational cohomology; hypersurface of degree 5; Fano variety; cylinder map; deformation theory},
language = {eng},
number = {3},
pages = {315-329},
publisher = {Martinus Nijhoff Publishers},
title = {The cylinder homomorphism associated to quintic fourfolds},
url = {http://eudml.org/doc/89743},
volume = {56},
year = {1985},
}

TY - JOUR
AU - Lewis, James D.
TI - The cylinder homomorphism associated to quintic fourfolds
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 56
IS - 3
SP - 315
EP - 329
LA - eng
KW - rational cohomology; hypersurface of degree 5; Fano variety; cylinder map; deformation theory
UR - http://eudml.org/doc/89743
ER -

References

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  1. [1] W. Barth and A. Van De Ven: Fano-varieties of lines on hypersurfaces. Arch. Math.31 (1978). Zbl0383.14003MR510081
  2. [2] S. Bloch and Murre, J.P.: On the Chow groups of certain types of Fano threefolds, Compositio Mathematica39 (1979) 47-105. Zbl0426.14018MR539001
  3. [3] M.J. Greenberg: Lectures on algebraic topology, Mathematics Lecture Note Series. W.A. Benjamin, Inc. (1967). Zbl0169.54403MR215295
  4. [4] J. Lewis: The Hodge conjecture for a certain class of fourfolds. To appear. Zbl0522.14001MR744329
  5. [5] D. Mumford: Algebraic Geometry. I. Complex Projective Varieties, Springer-Verlag, Berlin-Heidelberg- New York (1976). Zbl0356.14002MR453732
  6. [6] A.N. Tyurin, Five lectures on three-dimensional varieties, Russian math. Surveys27 (1972) 1-53. Zbl0263.14012MR412196
  7. [7] R.O. WellsJr.: Differential Analysis on Complex Manifolds, Prentice-Hall, Inc., Englewood Cliffs, New Jersey (1973). Zbl0262.32005MR515872

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