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arXiv · 1208.4343

Symplectic geometry and rationally connected 4-folds

Zhiyu Tian
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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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Zhiyu Tian. 2012-08-21. Symplectic geometry and rationally connected 4-folds. https://arxiv.org/abs/1208.4343

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