论文标题
特殊生物曲线的Prym品种的几何形状，三和五属
Geometry of Prym varieties for special bielliptic curves of genus three and five
论文作者
论文摘要
我们构造了三属三属和第五属的两支生物曲线的铅笔。第一笔铅笔与一般的阿贝尔表面相关，其极化为$（1,2）$。第二笔铅笔与第一支铅笔相关，未经塑造的双层覆盖物，其Prym品种在规范上是同构的，这是二属属的非常通用的曲线的雅各布。我们的结果是通过分析相关的Kummer表面上的合适的椭圆纤维以及其中的理性双层盖获得的。
We construct two pencils of bielliptic curves of genus three and genus five. The first pencil is associated with a general abelian surface with a polarization of type $(1,2)$. The second pencil is related to the first by an unramified double cover, the Prym variety of which is canonically isomorphic to the Jacobian of a very general curve of genus two. Our results are obtained by analyzing suitable elliptic fibrations on the associated Kummer surfaces and rational double covers among them.
