Boundedness of elliptic Calabi–Yau threefolds
Boundedness of elliptic Calabi–Yau threefolds
复制标题
DOI：
10.4171/jems/1467
复制
发表时间：
2021-12
影响因子：
2.6
通讯作者：
Stefano Filipazzi;Christopher D. Hacon;R. Svaldi
中科院分区：
文献类型：
--
作者：
Stefano Filipazzi;Christopher D. Hacon;R. Svaldi
我们证明了椭圆Calabi-Yau三重形成一个有界族。我们还表明，同样的结果适用于最小终端三倍的科代拉尺寸2，固定的增长率的pluicanonical形式和程度的多节的Iitaka纤维化。这两个假设都是证明这样一个族的有界性所必需的。
We show that elliptic Calabi--Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the rate of growth of pluricanonical forms and the degree of a multisection of the Iitaka fibration. Both of these hypotheses are necessary to prove the boundedness of such a family.