论文标题
在IITAKA的猜想中，具有积极特征的抗神论部
On the Iitaka conjecture for anticanonical divisors in positive characteristic
论文作者
论文摘要
鉴于在一个完美的积极特征领域进行振动，我们研究了抗宪法分隔的Iitaka型不平等。我们得出的结论是，当振动的源为三倍或目标是曲线时，一般纤维是规则的，并且从环境空间上诱导的一对时，它会成立。然后，我们在特征2和3中为具有探戈 - 射线表面构建的非正常纤维的纤维进行反例。
Given a fibration over a perfect field of positive characteristic, we study an Iitaka-type inequality for the anticanonical divisors. We conclude that it holds when the source of the fibration is a threefold or when the target is a curve, the general fibre is regular and the pair induced on it from the ambient space is strongly F-regular. We then give counterexamples in characteristics 2 and 3 for fibrations with non-normal fibres, constructed from Tango--Raynaud surfaces.
