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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 |
2016年04月19日(火)
15:30-17:00 数理科学研究科棟(駒場) 122号室
小木曽 啓示 氏 (東京大学大学院数理科学研究科)
Isomorphic quartic K3 surfaces and Cremona transformations (JAPANESE)
小木曽 啓示 氏 (東京大学大学院数理科学研究科)
Isomorphic quartic K3 surfaces and Cremona transformations (JAPANESE)
[ 講演概要 ]
We show that
(i) there is a pair of smooth complex quartic K3 surfaces such that they are isomorphic as abstract varieties but not Cremona equivalent.
(ii) there is a pair of smooth complex quartic K3 surfaces such that they are Cemona equivalent but not projectively equivalent.
These two results are much inspired by e-mails from Professors Tuyen Truong and J\'anos Koll\'ar.
We show that
(i) there is a pair of smooth complex quartic K3 surfaces such that they are isomorphic as abstract varieties but not Cremona equivalent.
(ii) there is a pair of smooth complex quartic K3 surfaces such that they are Cemona equivalent but not projectively equivalent.
These two results are much inspired by e-mails from Professors Tuyen Truong and J\'anos Koll\'ar.
