拟环面 orbifold 的爆破、k-楔积与偶性
代数拓扑
2023-10-24 v5 代数几何
摘要
本文中，我们引入简单多面体的多面体 k-楔积构造与爆破，并考察简单多面体的收缩序列因 k-楔积构造与爆破所受的影响。与此构造相关，我们引入拟环面 orbifold 的 k-楔积与爆破。我们将拟环面 orbifold 的 k-楔积与爆破的整上同调中的挠率与原始者进行比较。这两种构造从一个给定的拟环面 orbifold 出发提供了无穷多个整等变形式（integrally equivariantly formal）的拟环面 orbifold。
引用
@article{arxiv.1912.07047,
title = {Blowdown, $k$-wedge and evenness of quasitoric orbifolds},
author = {Koushik Brahma and Soumen Sarkar and Subhankar Sau},
journal= {arXiv preprint arXiv:1912.07047},
year = {2023}
}
备注
22 pages, 11 figures; The paper is subdivided into two parts. First part contains results related to torsion in the blowup of quasitoric orbifolds and it can be found in https://doi.org/10.1016/j.topol.2021.107666. This upload is the second part. The article has been reorganized and several changes have been done. All comments are welcome