论文标题
Frobenius-Witt差异和规律性
Frobenius-Witt differentials and regularity
论文作者
论文摘要
T. Dupuy，E。Katz，J。Rabinoff，D。Zureick-Brown推出了超过$ z/p^2z $的戒指的总计$ p $ differtientys。我们研究了超过$ z _ {（p）} $的戒指的相同结构，并证明了规律性标准。对于本地环，O.Gabber，L。Ramero以不同的方式构建了带有残留场的张量。在另一篇文章Arxiv：2006.00448中，我们使用FW差异的捆绑来定义cotangent束和eTale捆的微支持。
T. Dupuy, E. Katz, J. Rabinoff, D. Zureick-Brown introduced the module of total $p$-differentials for a ring over $Z/p^2Z$. We study the same construction for a ring over $Z_{(p)}$ and prove a regularity criterion. For a local ring, the tensor product with the residue field is constructed in a different way by O. Gabber, L. Ramero. In another article arXiv:2006.00448, we use the sheaf of FW-differentials to define the cotangent bundle and the micro-support of an etale sheaf.
