An integrable system of K3-Fano flags

Details An integrable system of K3-Fano flags An integrable system of K3-Fano flags

2007-03-06

arxiv.org/abs/math/0703166v2

Mathematics

Algebraic Geometry

10 pages; final version as published in Math. Annalen

Scientific paper

10.1007/s00208-008-0227-2

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).

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