Algebraic Geometry Seminar
Seminar information archive ~04/30|Next seminar|Future seminars 05/01~
Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2020/01/21
15:30-17:00 Room #118 (Graduate School of Math. Sci. Bldg.)
Matthias Schütt (Universität Hannover)
(Few) rational curves on K3 surfaces (English)
Matthias Schütt (Universität Hannover)
(Few) rational curves on K3 surfaces (English)
[ Abstract ]
Rational curves play a fundamental role for the structure of a K3 surface. I will first review the general theory before focussing on the case of low degree curves where joint work with S. Rams (Krakow) extends bounds of Miyaoka and Degtyarev. Time permitting, I will also discuss the special case of smooth rational curves as well as applications to Enriques surfaces.
Rational curves play a fundamental role for the structure of a K3 surface. I will first review the general theory before focussing on the case of low degree curves where joint work with S. Rams (Krakow) extends bounds of Miyaoka and Degtyarev. Time permitting, I will also discuss the special case of smooth rational curves as well as applications to Enriques surfaces.