Deformations of Kähler manifolds with nonvanishing holomorphic vector fields
Jaume Amorós, Mònica Manjarín, Marcel Nicolau (2012)
Journal of the European Mathematical Society
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We study compact Kähler manifolds admitting nonvanishing holomorphic vector fields, extending the classical birational classification of projective varieties with tangent vector fields to a classification modulo deformation in the Kähler case, and biholomorphic in the projective case. We introduce and analyze a new class of , and show that they form a smooth subspace in the Kuranishi space of deformations of the complex structure of . We extend Calabi’s theorem on the structure of...