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Algebraic Geometry Seminar
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2016/04/19
15:30-17:00 Room #122 (Graduate School of Math. Sci. Bldg.)
Keiji Oguiso (University of Tokyo)
Isomorphic quartic K3 surfaces and Cremona transformations (JAPANESE)
Keiji Oguiso (University of Tokyo)
Isomorphic quartic K3 surfaces and Cremona transformations (JAPANESE)
[ Abstract ]
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.
