On the birational geometry of the universal Picard variety

On the birational geometry of the universal Picard variety
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论通用皮卡德簇的双有理几何

DOI:
10.1093/imrn/rnr045
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发表时间:
2010
影响因子:
1
通讯作者:
Filippo Viviani
Filippo Viviani
中科院分区:
数学1区
文献类型:
--
作者:
G. Bini;C. Fontanari;Filippo Viviani

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我们计算了普适Picard簇Pd,g的科代拉维数,Pd,g是亏格曲线g上d次线丛的参数化,假设(d−g+1,2g−2)= 1.我们也给出了部分结果任意度d和我们investi-门的泛皮卡品种是双理性的程度。
We compute the Kodaira dimension of the univer- sal Picard variety Pd,g parameterizing line bundles of degree d on curves of genus g under the assumption that (d−g+1,2g−2) = 1. We also give partial results for arbitrary degrees d and we investi- gate for which degrees the universal Picard varieties are birational.
DOI: 10.4171/jems/214
发表时间: 2010
影响因子: 2.6
作者:
Farkas;Gavril;Ludwig;Katharina
通讯作者: Katharina