若干具有乘性 Chow-Künneth 分解的新 Fano 簇
代数几何
2021-11-16 v1
摘要
设 为 Grassmannian 与 3 个 Plücker 超平面的光滑维数横截交。我们证明 容许一个乘性 Chow-Künneth 分解，在 Shen-Vial 意义下。作为推论， 的幂的次数的 Chow 环的某个重言子环单射到上同调中。
引用
@article{arxiv.2111.07069,
title = {Some new Fano varieties with a multiplicative Chow-K\"unneth decomposition},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:2111.07069},
year = {2021}
}
备注
16 pages, to appear in Osaka J. Math., comments welcome. arXiv admin note: substantial text overlap with arXiv:2009.11061; text overlap with arXiv:2107.10051, arXiv:2105.02016, arXiv:2105.02224, arXiv:2110.11791, arXiv:2108.08547