Pushforward of structure sheaf and virtual global generation
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DOI: 10.1017/s001309152400021x
Abstract: Abstract Let $f\,:\,X\,\longrightarrow \,Y$ be a generically smooth morphism between irreducible smooth projective curves over an algebraically closed field of arbitrary characteristic. We prove that the vector bundle $((f_*{\mathcal O}_X)/{\mathcal O}_Y)^*$ is virtually globally generated.… read more here.
Keywords: sheaf virtual; global generation; pushforward structure; structure sheaf ... See more keywords