A TRANSCENDENTAL APPROACH TO KOLLÁR’S INJECTIVITY THEOREM

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  • A transcendental approach to Kollar's injectivity theorem

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Abstract

We treat Kollár's injectivity theorem from the analytic (or differential geometric) viewpoint. More precisely, we give a curvature condition which implies Kollár type cohomology injectivity theorems. Our main theorem is formulated for a compact Kähler manifold, but the proof uses the space of harmonic forms on a Zariski open set with a suitable complete Kähler metric. We need neither covering tricks, desingularizations, nor Leray's spectral sequence.

Journal

  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 49 (3), 833-852, 2012-09

    Osaka University and Osaka City University, Departments of Mathematics

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