FAMILIES OF CALABI-YAU ELLIPTIC FIBRATIONS IN P(L-a circle plus L-b circle plus O-B)

摘要

Let B be a smooth projective surface, and let L be an ample line bundle on B. The aim of this paper is to study the families of elliptic Calabi-Yau threefolds sitting in the bundle P(L-a circle plus L-b circle plus O-B) as anticanonical divisors. We will show that the number of such families is finite.