摘要翻译：
设Y->P^n是整Gorenstein曲线的平坦族，使得紧致的相对Jacobian x=\bar{J}^d(Y/P^n)是一个拉格朗日纤维。证明了P^n中判别轨迹Delta的阶至少为4n+2,当Delta的阶大于4n+20时，X是Beauville-Mukai可积系统。
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英文标题：
《On Lagrangian fibrations by Jacobians I》
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作者：
Justin Sawon
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最新提交年份：
2011
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  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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PDF链接：
https://arxiv.org/pdf/0803.1186