中文

关于某些具有非辛对合的超凯勒四维簇的 Chow 群 II

代数几何 2018-02-26 v1

摘要

本文研究容许非辛对合 ι\iota 的超凯勒四维簇 XX。Bloch-Beilinson 猜想预言了 ι\iotaXX 的 Chow 群的某些分量上的作用方式。主要结果是针对某些三次四维簇上的直线 Fano 簇验证了这一预言。这对商 X/ιX/\iota 的 Chow 环有一些有趣的结论。

关键词

引用

@article{arxiv.1802.08551,
  title  = {On the Chow groups of some hyperkaehler fourfolds with a non-symplectic involution II},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1802.08551},
  year   = {2018}
}

备注

To appear (in slightly different form) in Rocky Mountain J. of Math., 18 pages. This is a sequel to arxiv:1704.01083, which explains the text overlap. arXiv admin note: text overlap with arXiv:1802.07030, arXiv:1708.06092