A Threefold with and
Ezio Stagnaro
Università di Padova, Italy
![A Threefold with $p_g=0$ and $P_2=2$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-121.png&w=3840&q=90)
Abstract
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 .
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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