Geodesic
Special Lagrangian fibrations on the~flag variety $F^3$
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 193-205

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We propose a construction of a Lagrangian torus fibration of the full flag variety in $\mathbb C^3$. In contrast to the classical fibration obtained from the Gelfand–Zeitlin system, the proposed fibration is special Lagrangian.
Keywords: flag variety, Lagrangian torus, pseudotoric structure, special Lagrangian fibration. 
@article{TMF_2011_167_2_a2,
     author = {N. A. Tyurin},
     title = {Special {Lagrangian} fibrations on the~flag variety $F^3$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {193--205},
     publisher = {mathdoc},
     volume = {167},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a2/}
}
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N. A. Tyurin. Special Lagrangian fibrations on the~flag variety $F^3$. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 193-205. http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a2/