Additivity and Relative Kodaira Dimensions

Simple item page
dc.creatorLi, Tian-Jun
dc.creatorZhang, Weiyi
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:09:20Z
dc.date.available2026-07-07T13:09:20Z
dc.descriptionIn 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.
dc.description33 pages; dedicated to Shing-Tung Yau on the occasion of his 60th birthday
dc.identifierhttps://arxiv.org/abs/0904.4294
dc.identifierhttp://arxiv.org/abs/0904.4294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228697
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.titleAdditivity and Relative Kodaira Dimensions
dc.typetext

Files

Collections

arXiv