Cohomology of coherent sheaves and series of supernatural bundles

David Eisenbud; Frank-Olaf Schreyer

Journal of the European Mathematical Society (2010)

  • Volume: 012, Issue: 3, page 703-722
  • ISSN: 1435-9855

Abstract

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We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.

How to cite

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Eisenbud, David, and Schreyer, Frank-Olaf. "Cohomology of coherent sheaves and series of supernatural bundles." Journal of the European Mathematical Society 012.3 (2010): 703-722. <http://eudml.org/doc/277702>.

@article{Eisenbud2010,
abstract = {We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.},
author = {Eisenbud, David, Schreyer, Frank-Olaf},
journal = {Journal of the European Mathematical Society},
keywords = {supernatural bundle; cohomology table},
language = {eng},
number = {3},
pages = {703-722},
publisher = {European Mathematical Society Publishing House},
title = {Cohomology of coherent sheaves and series of supernatural bundles},
url = {http://eudml.org/doc/277702},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Eisenbud, David
AU - Schreyer, Frank-Olaf
TI - Cohomology of coherent sheaves and series of supernatural bundles
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 3
SP - 703
EP - 722
AB - We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.
LA - eng
KW - supernatural bundle; cohomology table
UR - http://eudml.org/doc/277702
ER -

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