论文标题

仿射同源性的压实$ 3 $ cells to the fovidive $ 3 $空间带有微不足道的原木分隔

Compactifications of affine homology $3$-cells into blow-ups of the projective $3$-space with trivial log canonical divisors

论文作者

Nagaoka, Masaru

论文摘要

在本文中,我们将仿射同源性的所有紧凑型分类为$ 3 $ cells沿平滑曲线的投射$ 3 $空间的爆炸,以使原木规范除数线性琐碎。结果,我们证明,除一个示例外,每个嵌入式仿射$ 3 $ fold与Aggine $ 3 $ - 空间都是同构。

In this paper we classify all the compactifications of affine homology $3$-cells into the blow-ups of the projective $3$-space along smooth curves such that the log canonical divisors are linearly trivial. As a result, we prove that each embedded affine $3$-fold is isomorphic to the affine $3$-space except one example.

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