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.

中文翻译：

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plurigenera 和 Chow 型引理的不变性

本文回答了 Demailly 的一个问题，非奇异射影变体的光滑族是否肯定地承认多代变形不变性，并更普遍地证明了这一点对于一个只有典型奇点且其中不可数奇点具有一般类型且有两个 Chow 的扁平变种族射影复解析空间族结构上的类型引理。