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Stable vector bundles on generalized Kummer varieties

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 نشر من قبل Fabian Reede
 تاريخ النشر 2021
  مجال البحث
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Let $A$ be an abelian surface. We construct two complete families of stable vector bundles on the generalized Kummer variety $K_n(A)$. The first is the family of tautological bundles associated to stable bundles on $A$, and the second is the family of the wrong-way fibers of a universal family of stable bundles on the dual abelian variety $widehat{A}$ parametrized by $K_n(A)$. Each family exhibits a smooth connected component in the moduli space of stable bundles on $K_n(A)$.


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