An integrable system of K3-Fano flags
Abstract
Description
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
10 pages; final version as published in Math. Annalen