论文标题
plurigenera的不变性在正和混合特征中失败
Invariance of plurigenera fails in positive and mixed characteristic
论文作者
论文摘要
我们构建了椭圆表面对的光滑家族，并在正面或混合特征$（x，b）\ to \ mathrm {spec} r $的DVR上构建终端奇异性，因此所有足够分开的$ m> $ m> 0 $。特别是，这表明所有足够分裂的多元素内的不变性并不遵循MMP和丰富的猜想。
We construct smooth families of elliptic surface pairs with terminal singularities over a DVR of positive or mixed characteristic $(X,B)\to \mathrm{Spec}R$, such that $P_m(X_k,B_k)>P_m(X_K,B_K)$ for all sufficiently divisible $m>0$. In particular, this shows that invariance of all sufficiently divisible plurigenera does not follow from the MMP and Abundance Conjectures.
