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

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.

32pages, 5 figures

References in corpus (1)

• On compactifications of affine homology 3-cells into quadric fibrations