论文标题
plurigenera的不变性和良好的最小模型
Invariance of plurigenera and good minimal models
论文作者
论文摘要
中山表明，plurigenera对于光滑复杂品种的变形不变性遵循MMP和丰富的猜想。我们将他的结果推广到奇异对家庭，而不是积极或混合特征的DVR。作为应用程序，我们显示了Plurigenera的不变性，用于良好的一般类型品种的最小模型的变形，其规范模型具有合理的近视度以及Gorenstein的规范模型的尺寸三分之二和固定体积的界限。
Nakayama showed that deformation invariance of plurigenera for smooth complex varieties follows from the MMP and Abundance Conjectures. We generalize his result to families of singular pairs over DVRs of positive or mixed characteristic. As an application we show invariance of plurigenera for deformations of good minimal models of general type varieties whose canonical model has rational singularities as well as boundedness of Gorenstein canonical models of dimension three and fixed volume over an algebraically closed field of characteristic $p>5$.
