论文标题
普通对的plurigenera和界限的不变性
Invariance of Plurigenera and boundedness for Generalized Pairs
论文作者
论文摘要
在本说明中，我们调查了关于代数品种界限的Birational几何形状的最新发展。我们将其中一些结果扩展到广义对的策略，该策略是由Birkar和Zhang首先引入的，当时相关的对数规范除数足够，并且体积固定。在这种情况下，我们显示了Plurigenera的通用对的变形不变性。最后，我们讨论了Kodaira Dimension $κ（x）= \ dim（x）-1 $的界限的应用。
In this note, we survey some recent developments in birational geometry concerning the boundedness of algebraic varieties. We delineate a strategy to extend some of these results to the case of generalized pairs, first introduced by Birkar and Zhang, when the associated log canonical divisor is ample, and the volume is fixed. In this context, we show a version of deformation invariance of plurigenera for generalized pairs. We conclude by discussing an application to the boundedness of varieties of Kodaira dimension $κ(X)=\dim(X)-1$.
