论文标题
Gushel- Mukai品种：中级Jacobians
Gushel--Mukai varieties: intermediate Jacobians
论文作者
论文摘要
我们描述了Gushel-Mukai品种的中间雅各比人$ x $ 3或5的$ x $：如果$ a $是与$ x $相关的Lagangian空间，我们证明，$ x $的中间雅各布式是与Albanese的两种dual eisenbud eisenbud a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a的中间空间。作为应用程序，我们描述了Gushel-Mukai三倍和五倍的时期图。
We describe intermediate Jacobians of Gushel-Mukai varieties $X$ of dimensions 3 or 5: if $A$ is the Lagrangian space associated with $X$, we prove that the intermediate Jacobian of $X$ is isomorphic to the Albanese variety of the canonical double covering of any of the two dual Eisenbud-Popescu-Walter surfaces associated with $A$. As an application, we describe the period maps for Gushel-Mukai threefolds and fivefolds.
