On the Frobenius direct image of the structure sheaf of a homogeneous projective variety
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.07.003
Abstract: Abstract We present an example of a homogeneous projective variety the Frobenius direct image of the structure sheaf of which has nonvanishing self extension. read more here.
Keywords: projective variety; image structure; homogeneous projective; direct image ... See more keywords
Pushforward of structure sheaf and virtual global generation
Sign Up to like & getrecommendations! Published in 2024 at "Proceedings of the Edinburgh Mathematical Society"
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