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Differentiable structures on complete intersections. II. (English) Zbl 0531.57029
Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 2, 123-133 (1983).
[For the entire collection see Zbl 0509.00008.]
This paper is partly a useful survey of earlier results of the authors [Trans. Am. Math. Soc. 267, 637-660 (1981; Zbl 0475.57013); Topology 21, 469-482 (1982; Zbl 0504.57015)] on diffeomorphism classification of nonsingular complex projective complete intersections and partly an extension of these results to the even dimensional case. For example, it is shown that in any complex dimension $$n\neq 2$$ there are arbitrarily many different multidegrees giving diffeomorphic complete intersections. It is also shown that often simple invariants of a complete intersection suffice to determine the homotopy type.
Reviewer: W.Neumann

MSC:
 57R55 Differentiable structures in differential topology 14M10 Complete intersections 32Q99 Complex manifolds