A remark on Kovács' vanishing theorem

Mathematics – Algebraic Geometry

Scientific paper

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4 pages

Scientific paper

We give an alternative proof of Kov\'acs' vanishing theorem. Our proof is
based on the standard arguments of the minimal model theory. We do not need the
notion of Du Bois pairs. We reduce Kov\'acs' vanishing theorem to the
well-known relative Kawamata--Viehweg--Nadel vanishing theorem.

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