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Algebraic Geometry Seminar
Seminar information archive ～09/27｜Next seminar｜Future seminars 09/28～
| Date, time & place | Friday 13:30 - 15:00 ハイブリッド開催/117Room #ハイブリッド開催/117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, NAKAMURA Yusuke, TANAKA Hiromu |
2007/05/07
16:30-18:00 Room #122 (Graduate School of Math. Sci. Bldg.)
謝啓鴻(Xie Qihong) (東大・数理)
Pathologies on ruled surfaces in positive characteristic
謝啓鴻(Xie Qihong) (東大・数理)
Pathologies on ruled surfaces in positive characteristic
[ Abstract ]
We discuss some pathologies of log varieties in positive characteristic. Mainly, we show that on ruled surfaces there are counterexamples of several logarithmic type theorems. On the other hand, we also give a characterization of the counterexamples of the Kawamata-Viehweg vanishing theorem on a geometrically ruled surface by means of the Tango invariant of the base curve.
We discuss some pathologies of log varieties in positive characteristic. Mainly, we show that on ruled surfaces there are counterexamples of several logarithmic type theorems. On the other hand, we also give a characterization of the counterexamples of the Kawamata-Viehweg vanishing theorem on a geometrically ruled surface by means of the Tango invariant of the base curve.
