An integrable system of K3-Fano flags
arXiv:math/0703166 · doi:10.1007/s00208-008-0227-2
Abstract
Given a K3 surface S, we show that the relative intermediate Jacobian of the universal family of Fano 3-folds V containing S as an anticanonical divisor is a Lagrangian fibration. The proof uses variations of the mixed Hodge structure of the pair (V,S).
10 pages; final version as published in Math. Annalen