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arxiv: 1709.01406 · v3 · pith:GBP5VV2Bnew · submitted 2017-09-04 · 🧮 math.AG

Relative Bertini type theorem for multiplier ideal sheaves

classification 🧮 math.AG
keywords relativetheoremtypebertiniidealmultipliersheavesapplication
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We establish a relative Bertini type theorem for multiplier ideal sheaves. Then we prove a relative version of the Koll\'ar--Nadel type vanishing theorem as an application.

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