We compare tame actions in the category of schemes with torsors in the category of log schemes endowed with the log flat topology. We prove that actions underlying log flat torsors are tame. Conversely, starting from a tame cover of a regular scheme that is a fppf torsor on the complement of a divisor with normal crossings, it is possible to build a log flat torsor that dominates this cover. In brief, the theory of log flat torsors gives a canonical approach to the problem of extending torsors into tame covers.

Jean Gillibert

Heer Zhao

Algebraic geometry

该期刊是 FOUNDATION COMPOSITIO MATHEMATICA 拥有的开放获取期刊。该期刊的宗旨是发表代数几何及相关领域的一流研究论文。所有贡献都必须符合高质量和原创性的高标准，并由该领域的专家仔细筛选。

Algebraic Geometry is an open-access journal published by FOUNDATION COMPOSITIO MATHEMATICA, dedicated to publishing high-quality research papers in algebraic geometry and related fields. All contributions must meet strict standards of quality and originality, and are carefully reviewed by experts in the field.

《Algebraic Geometry》是由 FOUNDATION COMPOSITIO MATHEMATICA 出版的开放获取期刊，旨在发表代数几何及相关领域的高水平研究论文。所有投稿均需符合高质量和原创性的严格标准，并经过该领域专家的仔细审查。

Category	Quartile
数学	1
数学, 数学	1

Tame stacks and log flat torsors

ivySCI AI Smartly Parses PDF, Answers Researchers' Questions, and Helps You Understand Papers in Seconds

Journal Info