Geodesic
Classification of exceptional log del Pezzo surfaces with $\delta=1$
Izvestiya. Mathematics , Tome 67 (2003) no. 3, pp. 461-497

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The exceptional log del Pezzo surfaces with $\delta=1$ are classified. 
@article{IM2_2003_67_3_a3,
     author = {S. A. Kudryavtsev},
     title = {Classification of exceptional log del {Pezzo} surfaces with $\delta=1$},
     journal = {Izvestiya. Mathematics },
     pages = {461--497},
     publisher = {mathdoc},
     volume = {67},
     number = {3},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_3_a3/}
}
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S. A. Kudryavtsev. Classification of exceptional log del Pezzo surfaces with $\delta=1$. Izvestiya. Mathematics , Tome 67 (2003) no. 3, pp. 461-497. http://geodesic.mathdoc.fr/item/IM2_2003_67_3_a3/