- Title : On the Nadel vanishing theorem for the multiplier ideal sheaves associated to metrics with minimal
- Speaker : Matsumura, Shin-ichi (Kagoshima University)
- Date & Time : 16 May, 2013 (Thu) 14:00~15:00
- Place : Math Science Building room 404
: In this talk, I will talk on the Nadel vanishing theorem for the multiplier ideal sheaf associated to a singular metric admitting an analytic Zariski decomposition (such as a metric with minimal singularities), under some weak assumption. For the proof, we generalize Koll ar's injectivity theorem to a line bundle with a singular metric. Further we establish the asymptotic vanishing theorem for high tensors powers of a line bundle.