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arXiv · 0803.1186

On Lagrangian fibrations by Jacobians I

Justin Sawon
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Abstract

Let Y->P^n be a flat family of integral Gorenstein curves, such that the compactified relative Jacobian X=\bar{J}^d(Y/P^n) is a Lagrangian fibration. We prove that the degree of the discriminant locus Delta in P^n is at least 4n+2, and we prove that X is a Beauville-Mukai integrable system if the degree of Delta is greater than 4n+20.

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Justin Sawon. 2011-09-16. On Lagrangian fibrations by Jacobians I. https://doi.org/10.1515/crelle-2013-0023

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