Geodesic
On real homotopy properties of complete intersections
Izvestiya. Mathematics, Tome 15 (1980) no. 2, pp. 241-258 
I. K. Babenko. On real homotopy properties of complete intersections. Izvestiya. Mathematics, Tome 15 (1980) no. 2, pp. 241-258. http://geodesic.mathdoc.fr/item/IM2_1980_15_2_a1/
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     title = {On real homotopy properties of complete intersections},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1980_15_2_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The real homotopy type of complete intersections in $\mathbf CP^N$ is studied. It is proved that these manifolds are intrinsically formal in the sense of Stashev and Gal'perin. The Poincaré series of the loop space on complete intersections is computed, and thus the validity of the Serre conjecture on the rationality for such complexes is established. As a corollary, a formula for the rational homotopy groups of a complete intersection is obtained. Bibliography: 12 titles.

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[8] Babenko I. K., “Ob analiticheskikh svoistvakh ryadov Puankare prostranstv petel”, Matem. zametki, 26:6 (1979)

[9] Hilton P., Steer B., “On fibered Categories and Cohomology”, Topology, 8:3 (1969), 243–251 | DOI | MR | Zbl

[10] Sullivan D., “Infinitesimal Computations in Topology”, Publ. Math. Paris, 47 (1977), 269–331 | MR | Zbl

[11] Babenko I. K., “Algebry Li gomotopicheskikh grupp minimalnykh modelei Sullivana”, Matem. zametki, 20:6 (1976), 793–804 | MR | Zbl

[12] Babenko I. K., “O ryadakh Puankare kratnykh prostranstv petel”, Uspekhi matem. nauk, 34:3 (1979), 191–192 | MR | Zbl