Iterated descent obstructions for algebraic stacks
Number Theory
2024-10-01 v1
Abstract
Base on a conjecture, we prove that for any smooth separated stack of finite type over a number field, its descent obstruction equals its iterated descent obstruction. As a consequence, we show that for any algebraic stack over a number field that has a finite etale covering of a smooth geometrically integral variety, its descent obstruction equals its iterated descent obstruction.
Cite
@article{arxiv.2409.20068,
title = {Iterated descent obstructions for algebraic stacks},
author = {Han Wu and Chang Lv},
journal= {arXiv preprint arXiv:2409.20068},
year = {2024}
}