Symplectic geometry and rationally connected 4-folds
classification
🧮 math.AG
math.SG
keywords
connectedrationallyfoldsymplecticfoldsaspectsbetticorollary
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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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