局部环上对称Grothendieck-Witt群的表象——以F_2为例
偏微分方程分析
2025-09-18 v3
摘要
设R为交换局部环。本文给出当R的剩余域为F_2时，对称Grothendieck-Witt环GW^s(R)的显式表象。这是对Rogers与Schlichting近期工作的补充，后者给出剩余域不同于F_2时GW^s(R)的显式表象。随后本文利用此结果计算序列局部环Z/2^nZ与F_2[x]/(x^n)的对称Grothendieck-Witt环。
引用
@article{arxiv.2504.18907,
title = {The Brezis-Nirenberg and logistic problem for the Logarithmic Laplacian},
author = {Rakesh Arora and Jacques Giacomoni and Arshi Vaishnavi},
journal= {arXiv preprint arXiv:2504.18907},
year = {2025}
}
备注
This version includes existence results for Brezis-Nirenberg and logistic type elliptic equations involving the logarithmic Laplacian and critical logarithmic non-linearity with linear/superlinear-subcritical perturbation