On the mixed Hodge structure associated to π 3 of a simply connected complex projective manifold

J. Carlson; H. Clemens; J. Morgan

Annales scientifiques de l'École Normale Supérieure (1981)

  • Volume: 14, Issue: 3, page 323-338
  • ISSN: 0012-9593

How to cite

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Carlson, J., Clemens, H., and Morgan, J.. "On the mixed Hodge structure associated to $\pi _3$ of a simply connected complex projective manifold." Annales scientifiques de l'École Normale Supérieure 14.3 (1981): 323-338. <http://eudml.org/doc/82077>.

@article{Carlson1981,
author = {Carlson, J., Clemens, H., Morgan, J.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {simply connected complex projective manifold; Abel-Jacobi homomorphism for algebraic 2-cycles; blowing up a threefold; Hodge isomorphic cohomology rings; mixed Hodge structure; third homotopy group; de Rham complex},
language = {eng},
number = {3},
pages = {323-338},
publisher = {Elsevier},
title = {On the mixed Hodge structure associated to $\pi _3$ of a simply connected complex projective manifold},
url = {http://eudml.org/doc/82077},
volume = {14},
year = {1981},
}

TY - JOUR
AU - Carlson, J.
AU - Clemens, H.
AU - Morgan, J.
TI - On the mixed Hodge structure associated to $\pi _3$ of a simply connected complex projective manifold
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1981
PB - Elsevier
VL - 14
IS - 3
SP - 323
EP - 338
LA - eng
KW - simply connected complex projective manifold; Abel-Jacobi homomorphism for algebraic 2-cycles; blowing up a threefold; Hodge isomorphic cohomology rings; mixed Hodge structure; third homotopy group; de Rham complex
UR - http://eudml.org/doc/82077
ER -

References

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  1. [B] N. BOURBAKI, Groupes et algèbres de Lie, Chapitres 4, 5 et 6, Hermann, Paris, 1968. Zbl0186.33001
  2. [Ca] J. CARLSON, Extensions of Mixed Hodge Structures (Journées de Géométrie Algébrique d'Angers, July 1979, A. BEAUVILLE, Ed., Sijthoff and Noordhoff, 1980). Zbl0471.14003
  3. [Cl-G] C. H. CLEMENS and P. GRIFFITHS, The Intermediate Jacobian of the Cubic Threefold (Annals of Math., 95, March 1972, pp. 281-356). Zbl0214.48302MR46 #1796
  4. [deR] G. DE RHAM, Variétés différentiables, formes, courants, formes harmoniques, Hermann, Paris, 1960. Zbl0089.08105
  5. [G-S] P. GRIFFITHS and W. SCHMID, Recent Developments in Hodge Theory : A Discussion of Techniques and Results (Discrete Subgroups of Lie Groups and Applications to Moduli, Bombay, Oxford University Press, 1975, pp. 31-127). Zbl0355.14003MR54 #7868
  6. [H] S. HU, Homotopy theory, Academic Press, 1959. Zbl0088.38803MR21 #5186
  7. [I-M] V. ISKOVSKIH and J. MANIN, Three-Dimensional Quartics and Counter-Examples to the Lüroth Problem (Math. U.R.S.S. Sbornik, 15, 1971, pp. 141-166). Zbl0249.14001
  8. [K] J. KING, Global Residues and Intersections on a Complex Manifold (Trans. A.M.S., Vol. 192, 1974, pp. 163-199. Zbl0301.32005MR49 #3198
  9. [M] J. MORGAN, The Algebraic Topology of Smooth Algebraic Varieties (I.H.E.S., Pub. 48, pp. 137-204). Zbl0401.14003MR80e:55020

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