Document Zbl 0401.14003

The algebraic topology of smooth algebraic varieties. (English) Zbl 0401.14003

Publ. Math., Inst. Hautes Étud. Sci. 48, 137-204 (1978).

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MSC:

14F35	Homotopy theory and fundamental groups in algebraic geometry
14C30	Transcendental methods, Hodge theory (algebro-geometric aspects)
55Q20	Homotopy groups of wedges, joins, and simple spaces

Keywords:

Rational Homotopy Invariants; Wedge Product; Mixed Hodge Structures; Minimal Model

Citations:

Zbl 0219.14007; Zbl 0374.57002

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Full Text: DOI Numdam EuDML

References:

[1]	A. Bousfield andD. Kan, Homotopy limits, completions and localizations,Lecture Notes in Mathematics,304, Berlin-Heidelberg-New York, Springer, 1972. · Zbl 0259.55004
[2]	A. Borel,Linear algebraic groups, New York, Benjamin, 1969. · Zbl 0206.49801
[3]	P. Deligne, Théorie de Hodge, I,Actes du Congrès international des Mathématiciens,I, Nice, 1970, 425–430.
[4]	P. Deligne, Théorie de Hodge, II,Publ. math. I.H.E.S.,40 (1971), 5–58.
[5]	P. Deligne, P. Griffiths, J. Morgan andD. Sullivan, Real Homotopy theory of Kähler manifolds,Invent. math.,29 (1975), 245–274. · Zbl 0312.55011 · doi:10.1007/BF01389853
[6]	H. Rironaka, Resolution of signularities of an algebraic variety over a field of characteristic o,Ann. of Math.,79 (1964), 109–326. · Zbl 0122.38603 · doi:10.2307/1970486
[7]	A. Malcev, Nilpotent groups without torsion,Izv. Akad. Nauk. SSSR, Math.,13 (1949), 201–212.
[8]	J. Milnor, Morse Theory,Ann. of Math. Studies,51, Princeton, New Jersey, Princeton University Press, 1963.
[9]	M. Nagata, Imbedding of an abstract variety in a complete variety,J. Math. Kyoto,2 (1962), 1–10. · Zbl 0109.39503
[10]	J.-P. Serre, Sur la topologie des variétés algébriques en caractéristiquep, Symposium internacional de topologiá algebrica, pp. 24–53, Mexico City, 1958.
[11]	D. Sullivan, Infinitesimal Calculations in Topology,Publ. math. I.H.E.S.,47 (1977), 269–331. · Zbl 0374.57002
[12]	A. Weil,Introduction à l’étude des variétés kählériennes, Paris, Hermann, 1958.
[13]	H. Whitney,Geometric Integration Theory, Princeton, Princeton University Press, 1957. · Zbl 0083.28204
[14]	P. Deligne, Théorie de Hodge, III,Publ. I.H.E.S.,44 (1974), 5–77.

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