限制卷和除符Zurski分解
Restricted volumes and divisorial Zariski decompositions
摘要:
本文给出了光滑(复)射影簇上的大因子的限制体积的行为与Zagliki分解的存在性之间的关系。此外,我们还根据Boucksom的工作给出了限制体积的解析描述。它使我们能够以自然的方式定义紧致Kähler流形上超越类的限制体积。这种关系可以推广到一个先验类。
英文摘要:
We give a relation between the existence of a Zariski decomposition and the behavior of the restricted volume of a big divisor on a smooth (complex) projective variety. Moreover, we give an analytic description of the restricted volume in the line of Boucksom's work. It enables us to define the restricted volume of a transcendental class on a compact Kähler manifold in natural way. The relation can be extended to a transcendental class.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。