Symplectic geometry and rationally connected 4-folds
Algebraic Geometry
2012-08-22 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1208.4343,
title = {Symplectic geometry and rationally connected 4-folds},
author = {Zhiyu Tian},
journal= {arXiv preprint arXiv:1208.4343},
year = {2012}
}
Comments
22 pages. Comments welcome. arXiv admin note: substantial text overlap with arXiv:1112.1369