Quasi-affineness and the 1-Resolution Property

2018/09/14 by Deshmukh, Neeraj, Hogadi, Amit, Mathur, Siddharth · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.05270

Abstract

We prove that, under mild hypothesis, every normal algebraic space which 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.

Cited by

• Gerbes for trigonalizable group schemes

Related

• The resolution property holds away from codimension three
• The resolution property for schemes and stacks
• Tensor generators on schemes and stacks
• Resolution of Singularities in Arbitrary Characteristic
• Flasque quasi-resolutions of algebraic varieties