Boundedness of Fano Threefolds with Log-Terminal Singularities of Given Index

J. Math. Sci. Univ. Tokyo
Vol. 8 (2001), No. 2, Page 329--342.

Borisov, Alexandr
Boundedness of Fano Threefolds with Log-Terminal Singularities of Given Index
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Abstract:
We prove that all Fano threefolds with log-terminal singularities of given index belong to finitely many families. This result was previously obtained by the author in the case of unipolar Fano varieties.

Mathematics Subject Classification (1991): 14J45
Mathematical Reviews Number: MR1837167

Received: 2000-07-25