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Bounded three-dimensional Fano varieties of integer index
Authors:I. A. Chel’tsov
Affiliation:(1) V. A. Steklov Mathematics Institute, Russian Academy of Sciences, USSR
Abstract:The cube of the anticanonical class of a three-dimensional Fano variety with canonical singularities and integer Fano index is effectively bounded. Translated fromMatematicheskie Zametki, Vol. 66, No. 3, pp. 445–451, September, 1999.
Keywords:Fano variety  anticanonical class  canonical singularity  integer Fano index  ample Cartier divisor  Gorenstein variety  terminal singularity  Gorenstein singularity  log pair
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