A new geometric construction of compact complex manifolds in any dimension

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Toric Topology (2012, methodology): “The resulting family of non-Kähler complex manifolds generalises the well-known series as of Hopf and Calabi–Eckmann manifolds [70], as well as LVM-manifolds (a class of complex structures on nonsingular intersections of Hermitian quadrics arising in holomorphic dynamics as transverse sets to certai”
Real quadrics in Cn, complex manifolds and convex polytopes (2006, methodology): “This led to the construction and study of larger and larger classes of new examples, especially in [27], [30] and [6].”
Complex-analytic structures on moment-angle manifolds (2010, methodology): “s ZP were shown to be complex in [BM], we ﬁnd it interesting and important to relate explicitly the quadratic description of ZP from [BP2] and [BPR] to the quadratic description of LVM-manifolds from [Me] and[BM]. Ithelps tounderstandbetter howthe complexstructuresonthe polytopal moment-angle manifo”
Intersections of Quadrics, Moment-angle Manifolds and Connected Sums (2009, background): “Following [28; 8] we call this construction the book(6) on P .”