Quasi-Affineness and the 1-Resolution Property

Deshmukh, Neeraj ; Hogadi, Amit ; Mathur, Siddharth (2020) Quasi-Affineness and the 1-Resolution Property International Mathematics Research Notices, 2022 (3). pp. 2224-2249. ISSN 1073-7928

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Official URL: https://doi.org/10.1093/imrn/rnaa125

Related URL: http://dx.doi.org/10.1093/imrn/rnaa125

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.

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Deposited On:27 Dec 2025 12:26
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