Effective nonvanishing, effective global generation

Mark Andrea A. De Cataldo

Annales de l'institut Fourier (1998)

  • Volume: 48, Issue: 5, page 1359-1378
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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De Cataldo, Mark Andrea A.. "Effective nonvanishing, effective global generation." Annales de l'institut Fourier 48.5 (1998): 1359-1378. <http://eudml.org/doc/75322>.

@article{DeCataldo1998,
abstract = {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.},
author = {De Cataldo, Mark Andrea A.},
journal = {Annales de l'institut Fourier},
keywords = {algebraic fundamental group; local Seshadri constant; maps to Grassmannians; nef vector bundles; effective global generation; jets; effective nonvanishing},
language = {eng},
number = {5},
pages = {1359-1378},
publisher = {Association des Annales de l'Institut Fourier},
title = {Effective nonvanishing, effective global generation},
url = {http://eudml.org/doc/75322},
volume = {48},
year = {1998},
}

TY - JOUR
AU - De Cataldo, Mark Andrea A.
TI - Effective nonvanishing, effective global generation
JO - Annales de l'institut Fourier
PY - 1998
PB - Association des Annales de l'Institut Fourier
VL - 48
IS - 5
SP - 1359
EP - 1378
AB - 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.
LA - eng
KW - algebraic fundamental group; local Seshadri constant; maps to Grassmannians; nef vector bundles; effective global generation; jets; effective nonvanishing
UR - http://eudml.org/doc/75322
ER -

References

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