Geodesic
Birational Geometry of Singular Fano Varieties
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 165-183

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We prove the divisorial canonicity of Fano hypersurfaces and double spaces of general position with elementary singularities. 
@article{TM_2009_264_a17,
     author = {A. V. Pukhlikov},
     title = {Birational {Geometry} of {Singular} {Fano} {Varieties}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {165--183},
     publisher = {mathdoc},
     volume = {264},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_264_a17/}
}
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A. V. Pukhlikov. Birational Geometry of Singular Fano Varieties. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Multidimensional algebraic geometry, Tome 264 (2009), pp. 165-183. http://geodesic.mathdoc.fr/item/TM_2009_264_a17/