Weighted Fano threefold hypersurfaces

Abstract

We study birational transformations into elliptic fibrations and birational automorphisms of quasismooth anticanonically embedded weighted Fano 3-fold hypersurfaces having terminal singularities classified by A.R. Iano-Fletcher, J. Johnson, J. Kollar, and M. Reid.

29 pages. The title has been changed. The section on degree of irrationality is removed. The contents are rearranged. The cases N=60 and 36 are reconsidered. Revised a lot