Resolutions of homogeneous bundles on ℙ 2

Giorgio Ottaviani[1]; Elena Rubei

  • [1] Dipartimento di Matematica ``U.Dini'', Viale Morgagni 67/A, c.a.p., 50134 Firenze (Italy)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 3, page 973-1015
  • ISSN: 0373-0956

Abstract

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We characterize minimal free resolutions of homogeneous bundles on ℙ 2 . Besides we study stability and simplicity of homogeneous bundles on ℙ 2 by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal resolution in the case the first bundle of the resolution is irreducible.

How to cite

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Ottaviani, Giorgio, and Rubei, Elena. "Resolutions of homogeneous bundles on ${\mathbb {P}}^2$." Annales de l’institut Fourier 55.3 (2005): 973-1015. <http://eudml.org/doc/116213>.

@article{Ottaviani2005,
abstract = {We characterize minimal free resolutions of homogeneous bundles on $\{\mathbb \{P\}\}^2$. Besides we study stability and simplicity of homogeneous bundles on $\{\mathbb \{P\}\}^2$ by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal resolution in the case the first bundle of the resolution is irreducible.},
affiliation = {Dipartimento di Matematica ``U.Dini'', Viale Morgagni 67/A, c.a.p., 50134 Firenze (Italy)},
author = {Ottaviani, Giorgio, Rubei, Elena},
journal = {Annales de l’institut Fourier},
keywords = {homogeneous bundles; minimal resolutions; quivers},
language = {eng},
number = {3},
pages = {973-1015},
publisher = {Association des Annales de l'Institut Fourier},
title = {Resolutions of homogeneous bundles on $\{\mathbb \{P\}\}^2$},
url = {http://eudml.org/doc/116213},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Ottaviani, Giorgio
AU - Rubei, Elena
TI - Resolutions of homogeneous bundles on ${\mathbb {P}}^2$
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 3
SP - 973
EP - 1015
AB - We characterize minimal free resolutions of homogeneous bundles on ${\mathbb {P}}^2$. Besides we study stability and simplicity of homogeneous bundles on ${\mathbb {P}}^2$ by means of their minimal free resolutions; in particular we give a criterion to see when a homogeneous bundle is simple by means of its minimal resolution in the case the first bundle of the resolution is irreducible.
LA - eng
KW - homogeneous bundles; minimal resolutions; quivers
UR - http://eudml.org/doc/116213
ER -

References

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  13. G. Ottaviani, E. Rubei, Quivers and the cohomology of homogeneous vector bundles Zbl1100.14012
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