Geodesic
Birational geometry of moduli varieties of vector bundles over $\mathbf P^2$
Izvestiya. Mathematics , Tome 38 (1992) no. 2, pp. 419-428

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The fields of rational functions on the moduli varieties of stable (symplectic) vector bundles over the projective plane are described. As a consequence the rationality of some series of moduli varieties is proved. 
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     author = {P. I. Katsylo},
     title = {Birational geometry of moduli varieties of vector bundles over $\mathbf P^2$},
     journal = {Izvestiya. Mathematics },
     pages = {419--428},
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     volume = {38},
     number = {2},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_2_a9/}
}
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P. I. Katsylo. Birational geometry of moduli varieties of vector bundles over $\mathbf P^2$. Izvestiya. Mathematics , Tome 38 (1992) no. 2, pp. 419-428. http://geodesic.mathdoc.fr/item/IM2_1992_38_2_a9/