摘要翻译:
型(g,n,r)的Prym映射与g属曲线的每一个n次循环覆盖相关,该曲线在r次约化因子处分支,即相应的Prym变体。我们证明了模空间对应的映射在大多数情况下是通有有限的。由此我们推导出Prym映射的像的维数。
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英文标题:
《Prym varieties of cyclic coverings》
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作者:
H. Lange, A. Ortega
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
The Prym map of type (g,n,r) associates to every cyclic covering of degree n of a curve of genus g, ramified at a reduced divisor of degree r, the corresponding Prym variety. We show that the corresponding map of moduli spaces is generically finite in most cases. From this we deduce the dimension of the image of the Prym map.
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PDF链接:
https://arxiv.org/pdf/0805.1020


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