paper

Vanishing theorems for projective morphisms between complex analytic spaces

arXiv:2205.14801

Abstract

We discuss vanishing theorems for projective morphisms between complex analytics spaces and some related results. They will play a crucial role in the minimal model theory for projective morphisms of complex analytic spaces. Roughly speaking, we establish an ultimate generalization of Kollár's package from the minimal model theoretic viewpoint.

21 pages, v2: very minor revision, v3: a minor revision which makes it compatible with arXiv:2209.06382 [math.AG] and arXiv:2209.11401 [math.AG], v4: a very minor revision, v5: a minor revision, v6: very minor revisions, v7: very minor revisions following referee's comments

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