On the Birational Geometry of the Universal Picard Variety

被引：16
|
作者：
Bini, Gilberto [1 ]
Fontanari, Claudio [2 ]
Viviani, Filippo [3 ]
机构：
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Univ Trento, Dipartimento Matemat, I-38123 Trento, Italy
[3] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2012年 / 2012卷 / 04期
关键词：
MODULI SPACES; KODAIRA DIMENSION; EFFECTIVE DIVISORS; CURVES; BUNDLES; STACKS; SLOPES; MODELS;
D O I：
10.1093/imrn/rnr045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the Kodaira dimension of the universal Picard variety P-d,P-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 investigate for which degrees the universal Picard varieties are birational.
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页码：740 / 780
页数：41
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