On direct images of pluricanonical bundles
On direct images of pluricanonical bundles
复制标题
DOI：
10.2140/ant.2014.8.2273
复制
发表时间：
2014-05
期刊：
影响因子：
--
通讯作者：
M. Popa;C. Schnell
中科院分区：
文献类型：
--
作者：
M. Popa;C. Schnell
我们表明，技术的启发Kollar和Viehweg的弱正性的研究，结合消失定理的对数正则对，导致新的后果产生和消失的直接图像的pluicanonical束的属性。我们制定了最强的这样的结果藤田marture型声明，然后示出管理一系列的基本性质的直接图像的pluicanonical和pluriadjoint线丛，如有效的消失定理，弱阳性，或通用消失。
We show that techniques inspired by Koll\'ar and Viehweg's study of weak positivity, combined with vanishing theorems for log-canonical pairs, lead to new consequences regarding generation and vanishing properties for direct images of pluricanonical bundles. We formulate the strongest such results as Fujita conjecture-type statements, which are then shown to govern a range of fundamental properties of direct images of pluricanonical and pluriadjoint line bundles, like effective vanishing theorems, weak positivity, or generic vanishing.