On the symplectic invariance of log Kodaira dimension
Symplectic Geometry
2012-11-12 v1 Algebraic Geometry
Abstract
Suppose that A and B are symplectomorphic smooth affine varieties. If A is acylic of dimension 2 then B has the same log Kodaira dimension as A. If the dimension of A is 3, has log Kodaira dimension 2 and satisfies some other conditions then B cannot be of log general type. We also show that if A and B are symplectomorphic affine varieties of any dimension then any compactification of A by a projective variety is uniruled if and only if any such compactification of B is uniruled.
Keywords
Cite
@article{arxiv.1211.2034,
title = {On the symplectic invariance of log Kodaira dimension},
author = {Mark McLean},
journal= {arXiv preprint arXiv:1211.2034},
year = {2012}
}
Comments
31 pages, 2 figures