Symplectic geometry and rationally connected 4-folds

Symplectic geometry and rationally connected 4-folds
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DOI:
10.1515/crelle-2013-0005
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发表时间:
2012-08
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
Zhiyu Tian
Zhiyu Tian
中科院分区:
其他
文献类型:
--
作者:
Zhiyu Tian

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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.