5,448 research outputs found
Vanishing via lifting to second Witt vectors and a proof of an isotriviality result
A proof based on reduction to finite fields of Esnault-Viehweg's stronger
version of Sommese Vanishing Theorem for -ample line bundles is given. This
result is used to give different proofs of isotriviality results of A. Parshin
and L. Migliorini.Comment: Latex, 7 page
Effective nonvanishing, effective global generation
We prove a multiple-points higher-jets nonvanishing theorem by the use of
local Seshadri constants. Applications are given to effectivity problems such
as constructing rational and birational maps into Grassmannians, and the global
generation of vector bundles.Comment: LaTex (article) 13 pages; revised: one section added; to appear in
Ann. Inst. Fourie
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