We construct a nonsingular threefold X with q_1=q_2=p_g=0 and P_2=2 whose m-canonical transformation \varphi_{|mK_X|} has the following properties 1) \varphi_{|mK_X|} has the generic fiber of dimension \geq 1, for 2 \leq m \leq 5; 2) it is generically a tranformation 2 : 1, for 6 \leq m \leq 8 and m=10; 3) it is birational for m=9 and m \geq 11.
A threefold with p_g = 0 and P_2 = 2
STAGNARO, EZIO
2009
Abstract
We construct a nonsingular threefold X with q_1=q_2=p_g=0 and P_2=2 whose m-canonical transformation \varphi_{|mK_X|} has the following properties 1) \varphi_{|mK_X|} has the generic fiber of dimension \geq 1, for 2 \leq m \leq 5; 2) it is generically a tranformation 2 : 1, for 6 \leq m \leq 8 and m=10; 3) it is birational for m=9 and m \geq 11.File in questo prodotto:
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