Proves an effective global generation theorem for direct images of pluricanonical bundles in mixed characteristic, with application to weak positivity of the relative canonical sheaf for smooth morphisms.
Grothendieck, \' E l\' e ments de g\' e om\' e trie alg\' e brique
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On the effective generation of direct images of pluricanonical bundles in mixed characteristic
Proves an effective global generation theorem for direct images of pluricanonical bundles in mixed characteristic, with application to weak positivity of the relative canonical sheaf for smooth morphisms.