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arXiv · 2005.10144

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

Masaru Nagaoka
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Abstract

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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Masaru Nagaoka. 2020-05-20. Compactifications of affine homology $3$-cells into blow-ups of the projective $3$-space with trivial log canonical divisors. https://arxiv.org/abs/2005.10144

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