Minimal resolution of general stable rank-2 vector bundles on P 2

Carla Dionisi; Marco Maggesi

Bollettino dell'Unione Matematica Italiana (2003)

  • Volume: 6-B, Issue: 1, page 151-160
  • ISSN: 0392-4041

Abstract

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We study general elements of moduli spaces M P 2 2 , c 1 , c 2 of rank-2 stable holomorphic vector bundles on P 2 and their minimal free resolutions. Incidentally, a quite easy proof of the irreducibility of M P 2 2 , c 1 , c 2 is shown.

How to cite

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Dionisi, Carla, and Maggesi, Marco. "Minimal resolution of general stable rank-2 vector bundles on $\mathbb{P}^2$." Bollettino dell'Unione Matematica Italiana 6-B.1 (2003): 151-160. <http://eudml.org/doc/194706>.

@article{Dionisi2003,
abstract = {We study general elements of moduli spaces $\mathfrak\{M\}_\{\mathbb\{P\}^\{2\}\}(2, c_\{1\}, c_\{2\})$ of rank-2 stable holomorphic vector bundles on $\mathbb\{P\}^\{2\}$ and their minimal free resolutions. Incidentally, a quite easy proof of the irreducibility of $\mathfrak\{M\}_\{\mathbb\{P\}^\{2\}\}(2, c_\{1\}, c_\{2\})$ is shown.},
author = {Dionisi, Carla, Maggesi, Marco},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {151-160},
publisher = {Unione Matematica Italiana},
title = {Minimal resolution of general stable rank-2 vector bundles on $\mathbb\{P\}^2$},
url = {http://eudml.org/doc/194706},
volume = {6-B},
year = {2003},
}

TY - JOUR
AU - Dionisi, Carla
AU - Maggesi, Marco
TI - Minimal resolution of general stable rank-2 vector bundles on $\mathbb{P}^2$
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/2//
PB - Unione Matematica Italiana
VL - 6-B
IS - 1
SP - 151
EP - 160
AB - We study general elements of moduli spaces $\mathfrak{M}_{\mathbb{P}^{2}}(2, c_{1}, c_{2})$ of rank-2 stable holomorphic vector bundles on $\mathbb{P}^{2}$ and their minimal free resolutions. Incidentally, a quite easy proof of the irreducibility of $\mathfrak{M}_{\mathbb{P}^{2}}(2, c_{1}, c_{2})$ is shown.
LA - eng
UR - http://eudml.org/doc/194706
ER -

References

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