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# Hamiltonian 2-forms in Kähler geometry, II Global classification

@inproceedings{CALDERBANK2004Hamiltonian2I, title={Hamiltonian 2-forms in K{\"a}hler geometry, II Global classification}, author={DAVID M. J. CALDERBANK and PAUL GAUDUCHON and CHRISTINA W. T\ONNESEN-FRIEDMAN}, year={2004} }

- Published 2004

We present a classification of compact Kähler manifolds admitting a hamiltonian 2-form (which were classified locally in part I of this work). This involves two components of independent interest. The first is the notion of a rigid hamiltonian torus action. This natural condition, for torus actions on a Kähler manifold, was introduced locally in part I, but such actions turn out to be remarkably well behaved globally, leading to a fairly explicit classification: up to a blow-up, compact Kähler… CONTINUE READING