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

2020/05/20 by Masaru Nagaoka, Nagaoka, Masaru
Mathematics · #14J10 #14J30 #14M27 #14R10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J10 #msc:14J30 #msc:14M27 #msc:14R10

paper · pdf · doi:10.48550/arxiv.2005.10144

32pages, 5 figures

arxiv created 2020/05/20 · arxiv updated 2020/05/21

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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