论文标题
纤维的界限，用于多种类型的多种形成图
Boundedness of fibers for pluricanonical maps of varieties of general type
论文作者
论文摘要
我们证明，如果$ r \ geqslant 2 $，则三倍的三倍的r-th Pluricanonic图具有Biration限制的纤维。同样，我们证明，如果$ r \ geqslant 4 $，则四倍的一般类型的R-th Pluricanonic图具有Biration界限的纤维。我们将这些结果扩展到较高的维度，从一般类型的生育几何形状自然产生的常数方面。
We prove that the r-th pluricanonical maps of threefolds of general type have birationally bounded fibers if $r\geqslant 2$. Similarly, we prove that the r-th pluricanonical maps of fourfolds of general type have birationally bounded fibers if $r\geqslant 4$. We extend these results to higher dimensions in terms of constants arising naturally from the birational geometry of varieties of general type.
