Limit weierstrass points on nodal reducible curves
Limit weierstrass points on nodal reducible curves
复制标题
限制节点可约曲线上的韦尔斯特拉斯点
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Parham Salehyan
中科院分区：
文献类型：
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作者：
E. Esteves;Parham Salehyan
80年代D. Eisenbud和J. Harris提出了以下问题：“在退化为非紧型稳定曲线的曲线族中，维尔斯特拉斯点的极限是什么？“在本文中，我们对这个问题给出了部分答案。我们考虑极限曲线在一般位置上有相交点的分量，并且退化沿一般方向沿着发生的情况。对于这种情况，我们计算任何阶的Weierstrass点的极限。然而，对于通常的一阶Weierstrass点，我们需要假设极限曲线的所有分量彼此相交。
In the 1980s D. Eisenbud and J. Harris posed the following question: "What are the limits of Weierstrass points in families of curves degenerating to stable curves not of compact type?" In the present article, we give a partial answer to this question. We consider the case where the limit curve has components intersecting at points in general position and where the degeneration occurs along a general direction. For this case we compute the limits of Weierstrass points of any order. However, for the usual Weierstrass points, of order one, we need to suppose that all of the components of the limit curve intersect each other.