We characterize minimal free resolutions of homogeneous bundles on . Besides we study stability and simplicity of homogeneous bundles on 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.
Nous caractérisons les résolutions libres minimales des fibrés homogènes sur et nous étudions la stabilité et la simplicité des fibrés homogènes sur par leurs résolutions libres minimales. En particulier, nous établissons un critère de simplicité pour un fibré homogène dans le cas où le premier fibré de sa résolution minimale est irréductible.
Keywords: homogeneous bundles, minimal resolutions, quivers
Mot clés : fibres homogènes, résolutions minimales, carquois
@article{AIF_2005__55_3_973_0, author = {Ottaviani, Giorgio and Rubei, Elena}, title = {Resolutions of homogeneous bundles on ${\mathbb {P}}^2$}, journal = {Annales de l'Institut Fourier}, pages = {973--1015}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {55}, number = {3}, year = {2005}, doi = {10.5802/aif.2119}, mrnumber = {2149408}, zbl = {1079.14051}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2119/} }
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 SP - 973 EP - 1015 VL - 55 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2119/ DO - 10.5802/aif.2119 LA - en ID - AIF_2005__55_3_973_0 ER -
%0 Journal Article %A Ottaviani, Giorgio %A Rubei, Elena %T Resolutions of homogeneous bundles on ${\mathbb {P}}^2$ %J Annales de l'Institut Fourier %D 2005 %P 973-1015 %V 55 %N 3 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2119/ %R 10.5802/aif.2119 %G en %F AIF_2005__55_3_973_0
Ottaviani, Giorgio; Rubei, Elena. Resolutions of homogeneous bundles on ${\mathbb {P}}^2$. Annales de l'Institut Fourier, Volume 55 (2005) no. 3, pp. 973-1015. doi : 10.5802/aif.2119. http://archive.numdam.org/articles/10.5802/aif.2119/
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