An integrable system of K3-Fano flags
classification
🧮 math.AG
math.DS
keywords
anticanonicalcontainingdivisorfamilyfanofibrationflagsfolds
read the original 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).
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