论文标题
与Gushel-Mukai表面相关的双EPW六六元
Double EPW sextics associated to Gushel-Mukai surfaces
论文作者
论文摘要
O'Grady的作品允许将二维Gushel-Mukai品种与K3表面（双EPW六六分）相关联。我们表征了K3表面，其相关的双EPW六重奏是光滑的。结果，我们能够为某些具有Hyper-Kähler歧管的平滑双EPW六六分子的家族产生符合性动作。我们还为尺寸2及更高的Gushel-Mukai品种的自动形态群提供了界限。
Works by O'Grady allow to associate to a 2-dimensional Gushel-Mukai variety, which is a K3 surface, a double EPW sextic. We characterize the K3 surfaces whose associated double EPW sextic is smooth. As a consequence, we are able to produce symplectic actions on some families of smooth double EPW sextics which are hyper-Kähler manifolds. We also provide bounds for the automorphism group of Gushel-Mukai varieties in dimension 2 and higher.
