Double total ramifications for curves of genus 2
Double total ramifications for curves of genus 2
复制标题
属 2 曲线的双倍总分支
DOI：
10.1093/imrn/rnu228
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Nicola Tarasca
中科院分区：
文献类型：
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作者：
Nicola Tarasca
在具有2个标记点的2属曲线的模空间中，我们考虑在两个标记点上完全分枝到P^1的d次映射的曲线轨迹，对于d>= 2。这样的位点的余维为2。我们计算了它们在稳定曲线模空间中的紧化类。从这个计算中可以推导出几个结果。
Inside the moduli space of curves of genus 2 with 2 marked points we consider the loci of curves admitting a map to P^1 of degree d totally ramified over the two marked points, for d>= 2. Such loci have codimension two. We compute the class of their compactifications in the moduli space of stable curves. Several results will be deduced from this computation.