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Symplectic geometry and rationally connected 4-folds (1208.4343v1)
Published 21 Aug 2012 in math.AG and math.SG
Abstract: We study some symplectic geometric aspects of rationally connected 4-folds. As a corollary, we prove that any smooth projective 4-fold symplectic deformation equivalent to a Fano 4-fold of pseudo-index at least 2 or a rationally connected 4-fold whose second Betti number is 2 is rationally connected.
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