A Threefold with and

  • Ezio Stagnaro

    Università di Padova, Italy


We construct a nonsingular threefold with and whose -canonical transformation has the following properties

i) has the generic fiber of dimension , for ;

ii) it is generically a tranformation 2 : 1, for and ;

iii) it is birational for and .

So, we have a gap for in the birationality of .


Cite this article

Ezio Stagnaro, A Threefold with and . Rend. Sem. Mat. Univ. Padova 121 (2009), pp. 13–31

DOI 10.4171/RSMUP/121-2