L 2 extension of adjoint line bundle sections

Dano Kim[1]

  • [1] University of Chicago Dept. of Mathematics 5734 S. University Ave. Chicago, IL 60637 (USA)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 4, page 1435-1477
  • ISSN: 0373-0956

Abstract

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We prove an extension theorem of Ohsawa-Takegoshi type for line bundle sections on a subvariety of general codimension in a normal projective variety. Our method of proof gives conditions to be satisfied for such extension in a general setting, while such conditions are satisfied when the subvariety is given by an appropriate multiplier ideal sheaf.

How to cite

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Kim, Dano. "$L^2$ extension of adjoint line bundle sections." Annales de l’institut Fourier 60.4 (2010): 1435-1477. <http://eudml.org/doc/116309>.

@article{Kim2010,
abstract = {We prove an extension theorem of Ohsawa-Takegoshi type for line bundle sections on a subvariety of general codimension in a normal projective variety. Our method of proof gives conditions to be satisfied for such extension in a general setting, while such conditions are satisfied when the subvariety is given by an appropriate multiplier ideal sheaf.},
affiliation = {University of Chicago Dept. of Mathematics 5734 S. University Ave. Chicago, IL 60637 (USA)},
author = {Kim, Dano},
journal = {Annales de l’institut Fourier},
keywords = {$L^2$ extension; multiplier ideal sheaf; pluricanonical line bundle; -extension; multplier ideal sheaf},
language = {eng},
number = {4},
pages = {1435-1477},
publisher = {Association des Annales de l’institut Fourier},
title = {$L^2$ extension of adjoint line bundle sections},
url = {http://eudml.org/doc/116309},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Kim, Dano
TI - $L^2$ extension of adjoint line bundle sections
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 4
SP - 1435
EP - 1477
AB - We prove an extension theorem of Ohsawa-Takegoshi type for line bundle sections on a subvariety of general codimension in a normal projective variety. Our method of proof gives conditions to be satisfied for such extension in a general setting, while such conditions are satisfied when the subvariety is given by an appropriate multiplier ideal sheaf.
LA - eng
KW - $L^2$ extension; multiplier ideal sheaf; pluricanonical line bundle; -extension; multplier ideal sheaf
UR - http://eudml.org/doc/116309
ER -

References

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