Geodesic
Minimal resolution of general stable rank-2 vector bundles on $\mathbb{P}^2$
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 151-160

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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. 
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     title = {Minimal resolution of general stable rank-2 vector bundles on $\mathbb{P}^2$},
     journal = {Bollettino della Unione matematica italiana},
     pages = {151--160},
     publisher = {mathdoc},
     volume = {Ser. 8, 6B},
     number = {1},
     year = {2003},
     zbl = {1150.14002},
     mrnumber = {MR1955702},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a8/}
}
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Dionisi, Carla; Maggesi, Marco. Minimal resolution of general stable rank-2 vector bundles on $\mathbb{P}^2$. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 1, pp. 151-160. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_1_a8/