Halphen pencils on weighted Fano threefold hypersurfaces

On a general quasismooth well-formed weighted hypersurface of degree Σ _i=1⁴ a _i in ℙ(1, a ₁, a ₂, a ₃, a ₄), we classify all pencils whose general members are surfaces of Kodaira dimension zero.      

Bounded three-dimensional Fano varieties of integer index

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.     

On the existence of almost Fano threefolds with del Pezzo fibrations

By Jahnke–Peternell–Radloff and Takeuchi, almost Fano threefolds with del Pezzo fibrations were classified. Among them, there exist 10 classes such that the existence of members of these was not proved. In this paper, we construct such examples belonging to each of 10 classes.