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Mathematics > Algebraic Geometry

Title: Symplectic invariance of rational surfaces on Kähler manifolds

Abstract: By work of Koll\'{a}r and Ruan, uniruledness of K\"{a}hler manifolds is an invariant of the underlying symplectic manifold. Zhiyu Tian proved that rational connectedness is a symplectic invariant if the dimension is $\leq 3$. We prove existence of a covering family of rational surfaces assuming positivity of certain gravitational descendants.
Comments: 21 pages
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14C05, 14N35
Cite as: arXiv:1803.06412 [math.AG]
  (or arXiv:1803.06412v1 [math.AG] for this version)

Submission history

From: Jason M. Starr [view email]
[v1] Fri, 16 Mar 2018 21:55:46 GMT (23kb)