Published January 2015
| Submitted + Published
Journal Article
Open
Symplectic geometry and rationally connected 4-folds
- Creators
- Tian, Zhiyu
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.
Additional Information
© 2015 De Gruyter. Received: 2012-10-14. Published Online: 2013-04-04. I would like to thank Tom Graber, Yongbin Ruan, Jason Starr, Claire Voisin, and Aleksey Zinger for discussions about various parts of the project, Zhiyuan Li and Letao Zhang for their encouragement, and Chenyang Xu for providing the key argument in Lemma 5.4 using "fake projective spaces".Attached Files
Published - Tian_2015p221.pdf
Submitted - 1208.4343v1.pdf
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1208.4343v1.pdf
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Additional details
- Eprint ID
- 54328
- Resolver ID
- CaltechAUTHORS:20150203-113043956
- Created
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2015-02-04Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field