通用形变环与特殊线性群的逆问题
表示论
2014-01-21 v2 群论
数论
环与代数
摘要
我们证明了每个具有剩余域 的完备 Noether 局部交换环 均可实现为某个 profinite 群连续线性表示的通用形变环。更具体地，只要 ， 即为 在 中自然表示的通用形变环。我们还检验了在 和 的情形下，类似结果对哪些 成立。
引用
@article{arxiv.1308.1346,
title = {The inverse problem for universal deformation rings and the special linear group},
author = {Krzysztof Dorobisz},
journal= {arXiv preprint arXiv:1308.1346},
year = {2014}
}
备注
Paper structured in a new way, results unchanged. Improved exposition, some proofs altered, additional remarks added. Last section made more precise. Similar results have been independently obtained by Eardley and Manoharmayum in their ArXiv:1307.8356 preprint