Relative Bertini type theorem for multiplier ideal sheaves

2017/09/04 by Fujino, Osamu
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 32L20 #Secondary 32L10. 32Q15

paper · doi:10.48550/arxiv.1709.01406

Abstract

We establish a relative Bertini type theorem for multiplier ideal sheaves. Then we prove a relative version of the Kollár--Nadel type vanishing theorem as an application.

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