Abstract
Let (ℳ, ℒ) be a polarized threefold of log-general type. The birationality of the bicanonical map of a smooth surface S ∈ |ℒ| is studied. This problem was previously considered and partially solved by the first and fourth author, who gave a satisfactory classification unless h1(𝒪ℳ) = 0 and pg(S) = 3, 4, 5. This article focuses on the remaining cases which are the hardest, settling the problem.
2000 Mathematics Subject Classification:
Notes
Communicated by C. Pedrini.