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| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) 118号室 |
|---|---|
| 担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
2017年05月30日(火)
15:30-17:00 数理科学研究科棟(駒場) 122号室
長岡 大 氏 (東大数理)
Contractible affine threefolds in smooth Fano threefolds (English or Japanese)
長岡 大 氏 (東大数理)
Contractible affine threefolds in smooth Fano threefolds (English or Japanese)
[ 講演概要 ]
By the contribution of M. Furushima, N. Nakayama, Th. Peternell and M.
Schneider, it is completed to classify all projective compactifications
of the affine 3-space A3 with Picard number one.
As a similar question, T. Kishimoto raised the problem to classify all
triplets (V,U,D1∪D2) which consist of smooth Fano threefolds
V of Picard number two, contractible affine threefolds U as open
subsets of V, and the complements D1∪D2=V∖U.
He also solved this problem when the log canonical divisors KV+D1+D2 are not nef.
In this talk, I will discuss the triplets (V,U,D1∪D2) whose
log canonical divisors are linearly equivalent to zero.
I will also explain how to determine all Fano threefolds V which
appear in such triplets.
By the contribution of M. Furushima, N. Nakayama, Th. Peternell and M.
Schneider, it is completed to classify all projective compactifications
of the affine 3-space A3 with Picard number one.
As a similar question, T. Kishimoto raised the problem to classify all
triplets (V,U,D1∪D2) which consist of smooth Fano threefolds
V of Picard number two, contractible affine threefolds U as open
subsets of V, and the complements D1∪D2=V∖U.
He also solved this problem when the log canonical divisors KV+D1+D2 are not nef.
In this talk, I will discuss the triplets (V,U,D1∪D2) whose
log canonical divisors are linearly equivalent to zero.
I will also explain how to determine all Fano threefolds V which
appear in such triplets.
