可加性与相对Kodaira维数
Additivity and Relative Kodaira Dimensions
摘要：
本文对具有可能不连通的嵌入辛曲面F的4-辛流形M引入了相对Kodaira维数的概念。一个显著的特点是F的球面分量必须被丢弃，这类似于3-流形的Thurston范数的定义。为了定义它，我们需要建立嵌入辛曲面的几个同调性质。我们还提出了相对极小模型的概念，并证明了它的存在性和令人惊讶的唯一性。
英文摘要：
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.
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