Z_{>= 0}^n - 0上Witt向量的Cartier第一定理
K理论与同调
2013-12-12 v2 代数拓扑
数论
摘要
我们证明了由Angeltveit、Gerhardt、Hill和Lindenstrauss定义的Z_{\geq 0}^n - 0上Witt向量的对偶表示将交换形式群G映到形式概形Ahat^n -> G的映射的函子，并且对于Q-代数或当n=1时，Witt向量是自对偶的。
关键词
引用
@article{arxiv.1211.1004,
title = {Cartier's first theorem for Witt vectors on Z_{>= 0}^n - 0},
author = {Kirsten Wickelgren},
journal= {arXiv preprint arXiv:1211.1004},
year = {2013}
}
备注
Corrected an error in the previous version of the main theorem, which is now stated in terms of the dual of the Witt vectors. The original statement holds under the additional hypothesis that we are working over a Q-algebra. To appear in Algebraic Topology: Applications and New Directions, Proceedings of the Stanford Symposium 2012. 7 pages, AIM preprint number AIM 2012-80