Geodesic
On embeddings of universal torsors over del~Pezzo surfaces in cones over flag varieties
Izvestiya. Mathematics , Tome 74 (2010) no. 5, pp. 883-923

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Following Skorobogatov and Serganova, we construct embeddings of universal torsors over del Pezzo surfaces in cones over flag varieties regarded as closed orbits in the projectivizations of quasi-miniscule representations. Our approach enables us to construct embeddings of universal torsors over del Pezzo surfaces of degree 1. This approach uses the notion of Mumford stability and differs slightly from that of the authors named above.
Keywords: miniscule representation, universal torsor
Mots-clés : del Pezzo surface, Mumford quotient. 
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     author = {V. S. Zhgoon},
     title = {On embeddings of universal torsors over {del~Pezzo} surfaces in cones over flag varieties},
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V. S. Zhgoon. On embeddings of universal torsors over del~Pezzo surfaces in cones over flag varieties. Izvestiya. Mathematics , Tome 74 (2010) no. 5, pp. 883-923. http://geodesic.mathdoc.fr/item/IM2_2010_74_5_a0/