TY - JOUR
T1 - Compactifications of affine homology 3-cells into blow-ups of the projective 3-space with trivial log canonical divisors
AU - Nagaoka, Masaru
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number JP19J14397 and the Program for Leading Graduate Schools, MEXT, Japan.
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.
PY - 2021/9
Y1 - 2021/9
N2 - 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.
AB - 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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U2 - 10.1007/s40879-021-00450-3
DO - 10.1007/s40879-021-00450-3
M3 - Article
AN - SCOPUS:85101743300
SN - 2199-675X
VL - 7
SP - 952
EP - 984
JO - European Journal of Mathematics
JF - European Journal of Mathematics
IS - 3
ER -