论文标题

在紧凑型类型的曲线上线性序列,由一条椭圆曲线桥接

Linear series on a curve of compact type bridged by a chain of elliptic curves

论文作者

Choi, Youngook, Kim, Seonja

论文摘要

在本文中,我们研究了紧凑型曲线上极限线性序列不存在的条件,以使两条平滑曲线被两个椭圆曲线的链桥接。将这项工作与在这种曲线上存在平滑极限序列的结果结合在一起,我们在复杂曲线的模量空间中最多显示了Codimension的Brill-Noether-Noether基因座之间的关系。具体而言,编辑二的Brill-Noether基因座具有相互不同的支持。

In the present paper we investigate conditions for the non-existence of a limit linear series on a curve of compact type such that two smooth curves are bridged by a chain of two elliptic curves. Combining this work with results on the existence of a smoothable limit linear series on such a curve, we show relations among Brill-Noether loci of codimension at most two in the moduli space of complex curves. Specifically, Brill-Noether loci of codimension two have mutually distinct supports.

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