2007/03/31 by Dimitri Markushevich, D. Markushevich
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #math.DS #msc:14D07 #msc:14H10 #msc:14J45 #msc:14K30 #msc:70H06
paper · pdf · doi:10.1007/s00208-008-0227-2
10 pages; final version as published in Math. Annalen
openalex publication_date 2008/03/25 · arxiv created 2008/06/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
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).