Let (M,L) be a polarized threefold of log-general type. The birationality of the bicanonical map of a smooth surface S \in |L| is studied. This problem was previously considered and partially solved by the first and the fourth author, who gave a satisfactory classification unless h^1(\Cal O_M)=0 and p_g(S)=3,4,5. This article focuses on the remaining cases which are the hardest, settling the problem
On the birationality of the bicanonical map of a surface section of a threefold / M.C. Beltrametti, C. Ciliberto, A. Lanteri, A.J. Sommese. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - 35:5(2007), pp. 1627-1650.
On the birationality of the bicanonical map of a surface section of a threefold
A. LanteriPenultimo
;
2007
Abstract
Let (M,L) be a polarized threefold of log-general type. The birationality of the bicanonical map of a smooth surface S \in |L| is studied. This problem was previously considered and partially solved by the first and the fourth author, who gave a satisfactory classification unless h^1(\Cal O_M)=0 and p_g(S)=3,4,5. This article focuses on the remaining cases which are the hardest, settling the problem
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