JournalslemVol. 64, No. 1/2pp. 127–142

Some Kähler structures on products of 2-spheres

  • Jean-François Lafont

    The Ohio State University, Columbus, USA

  • Gangotryi Sorcar

    The Hebrew University of Jerusalem, Israel

  • Fangyang Zheng

    Ohio State University, Columbus, USA
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Abstract

We consider a family of Kähler structures on products of 2-spheres, arising from complex Bott manifolds. ese are obtained via iterated -bundle constructions, generalizing the classical Hirzebruch surfaces. To each such Kähler structure, we associate a Bott diagram, which is a rooted forest with an edge labelling by positive integers. We show that the Bott diagrams classify these Kähler structures up to biholomorphism.

Cite this article

Jean-François Lafont, Gangotryi Sorcar, Fangyang Zheng, Some Kähler structures on products of 2-spheres. Enseign. Math. 64 (2018), no. 1/2, pp. 127–142

DOI 10.4171/LEM/64-1/2-5