Abstract
Let S → φ P 1 be an elliptic fibration on a K3 surface S. Then the composition S [n] → π S (n) → sym nφ P n gives an Abelian fibration on S [ n] . Let E be the exceptional divisor of π, then sym n φ∘ π( E) is of dimension n−1. We prove the inverse in this Note. To cite this article: B. Fu, C. R. Acad. Sci. Paris, Ser. I 337 (2003).
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