Symplectic geometry and rationally connected 4-folds
arXiv:1208.4343
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.
22 pages. Comments welcome. arXiv admin note: substantial text overlap with arXiv:1112.1369