论文标题
广义kummer品种的派生等效性
Derived equivalences of generalized Kummer varieties
论文作者
论文摘要
在本文中，我们研究了广义kummer品种的派生（自动）等价$ \ mathrm {kum}^n（a）$。我们通过表明概括的kummer品种$ \ mathrm {kum}^n（a）$和$ \ mathrm {kum}^n（a^\ vee）$来提供一个对Namikawa提出的问题的答案，只要$ n $是$ n $ and Abelian Surface $ a $ a $ a $ a $ n $ n in porlime and polarize of coprime of coprime of polarize of polarize of coprime。此外，我们以奥尔洛夫（Orlov）的短序列的风格获得了涉及自动等量组的精确序列，以实现阿伯利亚品种的自动等量。
In this article we study derived (auto)equivalences of generalized Kummer varieties $\mathrm{Kum}^n(A)$. We provide an answer to a question raised by Namikawa by showing that the generalized Kummer varieties $\mathrm{Kum}^n(A)$ and $\mathrm{Kum}^n(A^\vee)$ are derived equivalent as long as $n$ is even and the abelian surface $A$ admits a polarization whose exponent is coprime to $n+1$. Furthermore we obtain exact sequences involving groups of autoequivalences in the style of Orlov's short exact sequence for autoequivalences of abelian varieties.
