A classification of Lagrangian fibrations by Jacobians

Abstract:

Let C->P^n be a family of integral genus n curves with `mild singularities', such that the compactified relative Jacobian X=\bar{Pic}^1(C/P^n) is a holomorphic symplectic manifold. We prove that X is the Beauville-Mukai integrable system provided the degree of the discriminant locus in P^n is sufficiently large.

Available as arXiv:0803.1186 from the e-Print archive.

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Sunday, 24-Aug-2008 19:36:13 MDT
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