English

An integrable system of K3-Fano flags

Algebraic Geometry 2008-06-19 v2 Dynamical Systems

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).

Cite

@article{arxiv.math/0703166,
  title  = {An integrable system of K3-Fano flags},
  author = {Dimitri Markushevich},
  journal= {arXiv preprint arXiv:math/0703166},
  year   = {2008}
}

Comments

10 pages; final version as published in Math. Annalen

R2 v1 2026-07-22T17:52:15.426Z