Instanton sheaves on complex projective spaces.

Marcos Jardim

Collectanea Mathematica (2006)

  • Volume: 57, Issue: 1, page 69-91
  • ISSN: 0010-0757

Abstract

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We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of moduli spaces of instanton sheaves.

How to cite

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Jardim, Marcos. "Instanton sheaves on complex projective spaces. ." Collectanea Mathematica 57.1 (2006): 69-91. <http://eudml.org/doc/41811>.

@article{Jardim2006,
abstract = {We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of moduli spaces of instanton sheaves.},
author = {Jardim, Marcos},
journal = {Collectanea Mathematica},
keywords = {Geometría algebraica; Haces vectoriales; Espacio proyectivo complejo; Instantones; instanton sheaf; monad; mathematical instanton bundle},
language = {eng},
number = {1},
pages = {69-91},
title = {Instanton sheaves on complex projective spaces. },
url = {http://eudml.org/doc/41811},
volume = {57},
year = {2006},
}

TY - JOUR
AU - Jardim, Marcos
TI - Instanton sheaves on complex projective spaces.
JO - Collectanea Mathematica
PY - 2006
VL - 57
IS - 1
SP - 69
EP - 91
AB - We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of moduli spaces of instanton sheaves.
LA - eng
KW - Geometría algebraica; Haces vectoriales; Espacio proyectivo complejo; Instantones; instanton sheaf; monad; mathematical instanton bundle
UR - http://eudml.org/doc/41811
ER -

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