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

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Abstract

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.

Original languageEnglish
JournalEuropean Journal of Mathematics
DOIs
Publication statusAccepted/In press - 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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