Lines on complete intersection threefolds with \(K=0\) (Q1057335)

In this paper, the author considers smooth threefolds \(X\subset {\mathbb{P}}^ n\) which are complete intersections, and have trivial canonical sheaf. For generic such X, the set of lines on X is shown to be finite, and the number of lines is computed. The computation is repeated by a degeneration of X to a union of \({\mathbb{P}}^ 3\)'s, explaining the presence of some prime factors of these numbers.