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arXiv · 1803.06412

Symplectic invariance of rational surfaces on K\"{a}hler manifolds

Jason Michael Starr
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Abstract

Kollar and Ruan proved symplectic deformation invariance for uniruledness of Kaehler manifolds. Zhiyu Tian proved the same for rational connectedness in dimension < 4. Kollar conjectured this in all dimensions. We prove Kollar's conjecture, as well as existence of a covering family of rational surfaces, for all Kaehler manifolds that are symplectically deformation equivalent to G/P or to a low degree complete intersection in such.

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Jason Michael Starr. 2018-03-16. Symplectic invariance of rational surfaces on K\"{a}hler manifolds. https://arxiv.org/abs/1803.06412

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