Symplectic geometry and rationally connected 4-folds

Zhiyu Tian (1)

1 IF - Institut Fourier

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.

Domaines: Mathématiques [math]

Zhiyu Tian. Symplectic geometry and rationally connected 4-folds. Journal für die reine und angewandte Mathematik, 2015, 2015 (698), pp.221-244. ⟨10.1515/crelle-2013-0005⟩. ⟨hal-02401761⟩