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Geometry Colloquium
Seminar information archive ～04/19｜Next seminar｜Future seminars 04/20～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2015/01/16
10:00-11:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Takeo Nishinou (Rikkyo University)
Degeneration and curves on K3 surfaces (Japanese)
Takeo Nishinou (Rikkyo University)
Degeneration and curves on K3 surfaces (Japanese)
[ Abstract ]
There is a well-known conjecture which states that all projective K3 surfaces contain infinitely many rational curves. By calculating obstructions in deformation theory through degeneration, we give a new approach to this problem. In particular, we show that there is a Zariski open subset in the moduli space of quartic K3 surfaces whose members fulfil the conjecture.
There is a well-known conjecture which states that all projective K3 surfaces contain infinitely many rational curves. By calculating obstructions in deformation theory through degeneration, we give a new approach to this problem. In particular, we show that there is a Zariski open subset in the moduli space of quartic K3 surfaces whose members fulfil the conjecture.
