论文标题
k-gonal曲线的滚动不变，在平滑四边形上具有淋巴结模型，其节点在几行上
The scrollar invariants of k-gonal curves having a nodal model on a smooth quadric having its nodes on few lines
论文作者
论文摘要
我们确定平滑的四边形$ \ mathbb {p}^1 \ times \ times \ mathbb {p}^1 $在$ g^1_k $相关的$（0,1）$（0,1）$（0,1）$（0,1） $（1,0）$。该结果与E. ballico获得的结果非常相关，但在本文中，证明直接来自简单的引理。同样是Ballico E. Ballico在存在规定的滚动不变的曲线上的结果，这是该引理使参数短得多的结果。
We determine the scrollar invariants of the normalization $C$ of a nodal curve $Γ$ of type $(k,a)$ on a smooth quadric $\mathbb{P}^1 \times \mathbb{P}^1$ associated to the $g^1_k$ defined by the pencil of lines of type $(0,1)$ in case all nodes are contained in at most $k-1$ lines of type $(1,0)$. This result is very much related to results obtained by E. Ballico, but in this paper the proof follows directly from an easy lemma. Also a result of E. Ballico on the existence of curves with prescribed scrollar invariant is a consequence of that lemma making the arguments much shorter.
