多属和chow型引理的不变性

Pub Date : 2020-11-06 DOI:10.4310/ajm.2022.v26.n4.a2

S. Rao, I. Tsai

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引用次数: 6

摘要

本文回答了Demaily的一个问题，即一个光滑的非奇异射影变种族是否肯定地承认多属的变形不变性，并且更一般地证明了这一点，对于一个只有正则奇点和其中不可数奇点的平坦变种族是一般型的，并且对于一个射影复解析空间族结构上的两个Chow型引理也是如此。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Invariance of plurigenera and Chow-type lemma

This paper answers a question of Demailly whether a smooth family of nonsingular projective varieties admits the deformation invariance of plurigenera affirmatively, and proves this more generally for a flat family of varieties with only canonical singularities and uncountable ones therein being of general type and also two Chow-type lemmata on the structure of a family of projective complex analytic spaces.

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