Additivity and Relative Kodaira Dimensions

Details Additivity and Relative Kodaira Dimensions Additivity and Relative Kodaira Dimensions

2009-04-28

arxiv.org/abs/0904.4294v1

Mathematics

Symplectic Geometry

33 pages; dedicated to Shing-Tung Yau on the occasion of his 60th birthday

Scientific paper

In this paper we introduce the notion of relative Kodaira dimension for a symplectic 4-manifold M with a possibly disconnected embedded symplectic surface F. One notable feature is that the sphere components of F have to be discarded, which resembles the definition of Thurston norm of 3-manifolds. To define it we need to establish several homological properties of embedded symplectic surfaces. We also formulate the notion of relative minimal model, and prove the existence and the somewhat surprising uniqueness.

Affiliated with

Also associated with

No associations

Rating

Additivity and Relative Kodaira Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Additivity and Relative Kodaira Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Additivity and Relative Kodaira Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712645