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arxiv: 0705.1199 · v4 · pith:VJIBGOKCnew · submitted 2007-05-09 · 🧮 math.AG · math.CV

A transcendental approach to Koll\'ar's injectivity theorem II

classification 🧮 math.AG math.CV
keywords injectivitykolltheoremapproachrelativetranscendentalversioncarry
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We treat a relative version of the main theorem in my previous paper: A transcendental approach to Koll\'ar's injectivity theorem. More explicitly, we give a curvature condition that implies Koll\'ar type cohomology injectivity theorems in the relative setting. To carry out this generalization, we use the Ohsawa-Takegoshi twisted version of Nakano's identity.

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