On compactifications of affine homology 3-cells into quadric fibrations
On compactifications of affine homology 3-cells into quadric fibrations
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关于仿射同源 3 细胞压缩为二次纤维化
DOI：
10.1016/j.jalgebra.2020.07.008
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发表时间：
2020
影响因子：
0.9
通讯作者：
Nagaoka Masaru
中科院分区：
文献类型：
--
作者：
企画者：下司晶・須川公央;司会者：須川・波多野名奈;報告者：宮澤康人・安道健太郎;指定討論者：櫻井歓・後藤悠帆;Nagaoka Masaru
本文研究了仿射同调3-胞腔到二次纤维化的紧化问题，使得边界因子中含有纤维。证明了所有仿射同调3-胞腔同构于仿射3-空间A3.此外，我们还证明了所有这样的紧化都可以通过保A3的显式初等链连接到射影3-空间P3。
In this paper we deal with compactifications of affine homology 3-cells into quadric fibrations such that the boundary divisors contain fibers. We show that all such affine homology 3-cells are isomorphic to the affine 3-space A 3. Moreover, we show that all such compactifications can be connected by explicit elementary links preserving A 3 to the projective 3-space P 3.