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

共 50 条

[1] The singularities and birational geometry of the compactified universal Jacobian
Casalaina-Martin, Sebastian
Kass, Jesse Leo
Viviani, Filippo
ALGEBRAIC GEOMETRY, 2017, 4 (03): : 353 - 393
[2] Deformation of spherical CR structures and the universal Picard variety
Cheng, JH
Tsai, IH
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2000, 8 (02) : 301 - 346
[3] The Picard Group of the Universal Abelian Variety and the Franchetta Conjecture for Abelian Varieties
Fringuelli, Roberto
Pirisi, Roberto
MICHIGAN MATHEMATICAL JOURNAL, 2019, 68 (03) : 651 - 671
[4] Birational geometry of some universal families of n-pointed Fano fourfolds
Awada, Hanine
Bolognesi, Michele
Stagliano, Giovanni
EUROPEAN JOURNAL OF MATHEMATICS, 2022, 8 (SUPPL 1) : 130 - 146
[5] Birational geometry of some universal families of n-pointed Fano fourfolds
Hanine Awada
Michele Bolognesi
Giovanni Staglianò
European Journal of Mathematics, 2022, 8 : 130 - 146
[6] Birational geometry of surfaces
Ciro Ciliberto
Thomas Dedieu
Flaminio Flamini
Rita Pardini
Bollettino dell'Unione Matematica Italiana, 2018, 11 (1) : 1 - 3
[7] Birational geometry of surfaces
Ciliberto, Ciro
Dedieu, Thomas
Flamini, Flaminio
Pardini, Rita
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2018, 11 (01): : 1 - 3
[8] Symplectic Birational Geometry
Li, Tian-Jun
Ruan, Yongbin
NEW PERSPECTIVES AND CHALLENGES IN SYMPLECTIC FIELD THEORY, 2009, 49 : 307 - +
[9] BIRATIONAL GEOMETRY OF QUADRICS
Totaro, Burt
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2009, 137 (02): : 253 - 276
[10] Birational and numerical geometry of the variety of complete pairs of two-point spaces on an algebraic surface
Tikhomirov, AS
Troshina, TL
MATHEMATICAL NOTES, 1999, 65 (3-4) : 344 - 350

← 1 2 3 4 5 →