Rendiconti del Seminario Matematico della Università di Padova


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Volume 121, 2009, pp. 13–31
DOI: 10.4171/RSMUP/121-2

Published online: 2009-06-30

A Threefold with $p_g=0$ and $P_2=2$

Ezio Stagnaro[1]

(1) Università di Padova, Italy

We construct a nonsingular threefold X with q1 = q2 = pg = 0 and P2 = 2 whose m-canonical transformation φ|mKX| has the following properties
i) φ|mKX| has the generic fiber of dimension ≥ 1, for 2 ≤ m ≤ 5;
ii) it is generically a tranformation 2 : 1, for 6 ≤ m ≤ 8 and m = 10;
iii) it is birational for m = 9 and m ≥ 11.

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Stagnaro Ezio: A Threefold with $p_g=0$ and $P_2=2$. Rend. Sem. Mat. Univ. Padova 121 (2009), 13-31. doi: 10.4171/RSMUP/121-2