Multiplier ideal sheaves and Nadel’s vanishing theorem


13:00:00 - 14:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk, we introduce the concept of multiplier ideal sheaves and derive two of their basic properties: coherence and Nadel’s vanishing theorem. If time permits, we will also set up for the next talk.
Reference: [Dem12]J.-P. Demailly.—Analytic methods in algebraic geometry, Surveys of Modern Mathematics, Vol. 1, International Press of Boston, Inc.(2012).
[Nad89] A.M. Nadel. —Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalarcurvature, Proc. Nat. Acad. Sci. U.S.A., 86 (1989), 7299–7300 and Annals of Math.,132(1990), 549–596.