论文标题
受分支Prym地图的纤维
The fibers of the ramified Prym map
论文作者
论文摘要
我们研究了受分解的PRYM MAP $ \ MATHCAL P_ {G，R} \ LONGRIGHTARROW \ MATHCAL A_ {G-1+\ frac R2}^δ$，该$分配给了$ r $ r $ r $ r $ r $ r $ r $ r $ ry prym prym prym prym prym prym prym prym prym a prym pry the Prym verts pry the Prym aff the Prym a pry the Prym after的双重封面。我们专注于六个情况下，严格的源尺寸大于目标尺寸的几何描述。我们还给出了一个完全测量曲线的明确示例，这是Prym Map $ {\ Mathcal P} _ {1,2} $的纤维的不可约组件。
We study the ramified Prym map $\mathcal P_{g,r} \longrightarrow \mathcal A_{g-1+\frac r2}^δ$ which assigns to a ramified double cover of a smooth irreducible curve of genus $g$ ramified in $r$ points the Prym variety of the covering. We focus on the six cases where the dimension of the source is strictly greater than the dimension of the target giving a geometric description of the generic fibre. We also give an explicit example of a totally geodesic curve which is an irreducible component of a fibre of the Prym map ${\mathcal P}_{1,2}$.
