完美环的 Hodge 完备导出 de Rham 代数
代数几何
2019-06-20 v2 数论
摘要
导出 de Rham 上同调近来已在多种语境中被使用,例如在 Beilinson 与 Bhatt 关于 p 进周期态射以及 Morin 关于 zeta 函数特殊值数值不变量的工作中。受 Morin 某些结果的启发,我们旨在计算 Hodge 完备导出 de Rham 复形在环映射 的情形,该映射经过 分解,且 为完美环(即 Frobenius 映射为自同构)。
引用
@article{arxiv.1901.02365,
title = {Hodge completed derived de Rham algebra of a perfect ring},
author = {Davide Marangoni},
journal= {arXiv preprint arXiv:1901.02365},
year = {2019}
}
备注
It turns out that there is a hole in the crucial proof, so that the actual result of the computation is very different from what we expected. Furthermore the whole paper, with the fixed proof, has become not so much interesting (at the moment)