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Projective embeddings and Lagrangian fibrations of Kummer varieties. (English) Zbl 1178.53087

This is a companion to an earlier paper [Math. Ann. 333, No. 4, 741–757 (2005; Zbl 1084.53071)] of the author, constructing Lagrangian fibrations on principally polarised abelian varieties as the limit of fibrations induced by the moment map. Here similar results are obtained for Kummer varieties, by broadly similar methods. In addition, the author takes the opportunity to correct an error in the proof of the main theorem of [loc.cit.]: no change is needed to the statements.

MSC:

53D12 Lagrangian submanifolds; Maslov index
32Q15 Kähler manifolds

Citations:

Zbl 1084.53071
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References:

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