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.

引用

页码：740 / 780

页数：41

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