Geodesic
On the resolution of 3-dimensional terminal singularities
Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 127-140

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We show that there is at most one nonrational exceptional divisor with discrepancy 1 over a three-dimensional terminal point of type $cD$. If such a divisor exists, then it is birationally isomorphic to the surface $\mathbb P^1\times C$, where $C$ is a hyperelliptic (for $g(C)>1$) curve. 
@article{MZM_2005_77_1_a11,
     author = {D. A. Stepanov},
     title = {On the resolution of 3-dimensional terminal singularities},
     journal = {Matemati\v{c}eskie zametki},
     pages = {127--140},
     publisher = {mathdoc},
     volume = {77},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a11/}
}
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D. A. Stepanov. On the resolution of 3-dimensional terminal singularities. Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 127-140. http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a11/