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

2011/01/17

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Toshihiro Nose (Kyushu Univ.)
Asymptotics of the Bergman function for semipositive holomorphic line bundles (JAPANESE)
[ Abstract ]
In this talk, an asymptotic expansion of the Bergman function at a degenerate point is given for high powers of semipositive holomorphic line bundles on compact Kahler manifolds, whose Hermitian metric has some kind of quasihomogeneous properties. In the sence of pointwise asymptotics, This expansion is a generalization of the expansion of Tian-Zelditch-Catlin-Lu in the positive line bundle case.