Geodesic
Complex projective towers and their cohomological rigidity up to dimension six
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, convex polytopes, and related topics, Tome 286 (2014), pp. 308-330.

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A complex projective tower, or simply a $\mathbb C\mathrm P$-tower, is an iterated complex projective fibration starting from a point. In this paper we classify all six-dimensional $\mathbb C\mathrm P$-towers up to diffeomorphism, and as a consequence we show that all such manifolds are cohomologically rigid, i.e., they are completely determined up to diffeomorphism by their cohomology rings. 
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Shintarô Kuroki; DongYoup Suh. Complex projective towers and their cohomological rigidity up to dimension six. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic topology, convex polytopes, and related topics, Tome 286 (2014), pp. 308-330. http://geodesic.mathdoc.fr/item/TM_2014_286_a16/

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