The algebraic topology of smooth algebraic varieties

John W. Morgan

Publications Mathématiques de l'IHÉS (1978)

  • Volume: 48, page 137-204
  • ISSN: 0073-8301

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Morgan, John W.. "The algebraic topology of smooth algebraic varieties." Publications Mathématiques de l'IHÉS 48 (1978): 137-204. <http://eudml.org/doc/103954>.

@article{Morgan1978,
author = {Morgan, John W.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {Rational Homotopy Invariants; Wedge Product; Mixed Hodge Structures; Minimal Model},
language = {eng},
pages = {137-204},
publisher = {Institut des Hautes Études Scientifiques},
title = {The algebraic topology of smooth algebraic varieties},
url = {http://eudml.org/doc/103954},
volume = {48},
year = {1978},
}

TY - JOUR
AU - Morgan, John W.
TI - The algebraic topology of smooth algebraic varieties
JO - Publications Mathématiques de l'IHÉS
PY - 1978
PB - Institut des Hautes Études Scientifiques
VL - 48
SP - 137
EP - 204
LA - eng
KW - Rational Homotopy Invariants; Wedge Product; Mixed Hodge Structures; Minimal Model
UR - http://eudml.org/doc/103954
ER -

References

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  1. [1] A. BOUSFIELD and D. KAN, Homotopy limits, completions and localizations, Lecture Notes in Mathematics, 304, Berlin-Heidelberg-New York, Springer, 1972. Zbl0259.55004MR51 #1825
  2. [2] A. BOREL, Linear algebraic groups, New York, Benjamin, 1969. Zbl0186.33201MR40 #4273
  3. [3] P. DELIGNE, Théorie de Hodge, I, Actes du Congrès international des Mathématiciens, I, Nice, 1970, 425-430. Zbl0219.14006MR56 #356
  4. [4] P. DELIGNE, Théorie de Hodge, II, Publ. math. I.H.E.S., 40 (1971), 5-58. Zbl0219.14007MR58 #16653a
  5. [5] P. DELIGNE, P. GRIFFITHS, J. MORGAN and D. SULLIVAN, Real Homotopy theory of Kähler manifolds, Invent. math., 29 (1975), 245-274. Zbl0312.55011MR52 #3584
  6. [6] H. HIRONAKA, Resolution of singularities of an algebraic variety over a field of characteristic o, Ann. of Math., 79 (1964), 109-326. Zbl0122.38603MR33 #7333
  7. [7] A. MALCEV, Nilpotent groups without torsion, Izv. Akad. Nauk. SSSR, Math., 13 (1949), 201-212. MR10,507e
  8. [8] J. MILNOR, Morse Theory, Ann. of Math. Studies, 51, Princeton, New Jersey, Princeton University Press, 1963. Zbl0108.10401MR29 #634
  9. [9] M. NAGATA, Imbedding of an abstract variety in a complete variety, J. Math. Kyoto, 2 (1962), 1-10. Zbl0109.39503MR26 #118
  10. [10] J.-P. SERRE, Sur la topologie des variétés algébriques en caractéristique p, Symposium internacional de topologiá algebrica, pp. 24-53, Mexico City, 1958. Zbl0098.13103MR20 #4559
  11. [11] D. SULLIVAN, Infinitesimal Calculations in Topology, Publ. math. I.H.E.S., 47 (1977), 269-331. Zbl0374.57002MR58 #31119
  12. [12] A. WEIL, Introduction à l'étude des variétés kählériennes, Paris, Hermann, 1958. Zbl0137.41103
  13. [13] H. WHITNEY, Geometric Integration Theory, Princeton, Princeton University Press, 1957. Zbl0083.28204MR19,309c
  14. [14] P. DELIGNE, Théorie de Hodge, III, Publ. I.H.E.S., 44 (1974), 5-77. Zbl0237.14003MR58 #16653b

Citations in EuDML Documents

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  1. John W. Morgan, Corrections to: “The algebraic topology of smooth algebraic varieties”
  2. Maurizio Letizia, 1-motivi di varietà proiettive semplicemente connesse e scoppiamenti
  3. J. Carlson, H. Clemens, J. Morgan, On the mixed Hodge structure associated to π 3 of a simply connected complex projective manifold
  4. Richard M. Hain, On a generalization of Hilbert's 21st problem
  5. Maurizio Letizia, Motivi associati a successioni di coomologia relativa
  6. Richard M. Hain, The Hodge de Rham theory of relative Malcev completion
  7. Clément Dupont, [unknown]
  8. Richard M. Hain, Nil-manifolds as links of isolated singularities
  9. Toshitake Kohno, Monodromy representations of braid groups and Yang-Baxter equations
  10. James A. Carlson, Domingo Toledo, Harmonic mappings of Kähler manifolds to locally symmetric spaces

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