Abstract

We prove that, under mild hypothesis, every normal algebraic space that satisfies the $1$-resolution property is quasi-affine. More generally, we show that for algebraic stacks satisfying similar hypotheses, the 1-resolution property guarantees the existence of a finite flat cover by a quasi-affine scheme.

中文翻译：

---

准相似性和 1-Resolution 属性

摘要

我们证明，在温和假设下，每个满足 $1$-分辨率属性的正规代数空间都是拟仿射的。更一般地，我们表明，对于满足类似假设的代数堆栈，1-分辨率属性通过准仿射方案保证了有限平面覆盖的存在。