Seminar on Geometric Complex Analysis

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Date, time & place Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kengo Hirachi, Shigeharu Takayama

2013/06/10

10:30-12:00   Room #126 (Graduate School of Math. Sci. Bldg.)
Shin-ichi Matsumura (Kagoshima University)
A Nadel vanishing theorem for metrics with minimal singularities on big line bundles (JAPANESE)
[ Abstract ]
In this talk, we study singular metrics with non-algebraic singularities, their multiplier ideal sheaves and a Nadel type vanishing theorem, from the view point of complex geometry. The Nadel vanishing theorem can be seen as an analytic version of the Kawamata-Viehweg vanishing theorem of algebraic geometry. The main purpose of this talk is to establish such a theorem for the multiplier ideal sheaf of a metric with minimal singularities, for the cohomology with values in a big line bundle.