Effective nonvanishing, effective global generation

Details Effective nonvanishing, effective global generation Effective nonvanishing, effective global generation

1997-08-02

arxiv.org/abs/alg-geom/9708004v2

Mathematics

Algebraic Geometry

LaTex (article) 13 pages; revised: one section added; to appear in Ann. Inst. Fourier

Scientific paper

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.

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