The Q-Picard group of the moduli space of curves in positive characteristic

被引：12

作者：

Moriwaki, A ^{[1
]}

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2001年 / 12卷 / 05期

关键词：

D O I：

10.1142/S0129167X01000964

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that the Q-Picard group of the moduli space of n-pointed stable curves of genus g over an algebraically closed field is generated by the tautological classes. We also prove that the cycle map to the second etale cohomology group is bijective.

引用

页码：519 / 534

页数：16

共 50 条

[1] On the Picard group of the moduli scheme of stable curves in positive characteristic
Ballico, E
JOURNAL OF PURE AND APPLIED ALGEBRA, 1998, 124 (1-3) : 1 - 5
[2] Picard group of moduli of curves of low genus in positive characteristic
Di Lorenzo, Andrea
MANUSCRIPTA MATHEMATICA, 2021, 165 (3-4) : 339 - 361
[3] Picard group of moduli of curves of low genus in positive characteristic
Andrea Di Lorenzo
manuscripta mathematica, 2021, 165 : 339 - 361
[4] The Picard group of a coarse moduli space of vector bundles in positive characteristic
Hoffmann, Norbert
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (04): : 1306 - 1313
[5] THE PICARD GROUP OF THE MODULI SPACE OF CURVES WITH LEVEL STRUCTURES
Putman, Andrew
DUKE MATHEMATICAL JOURNAL, 2012, 161 (04) : 623 - 674
[6] THE PICARD GROUP OF THE UNIVERSAL-PICARD-VARIETIES OVER THE MODULI SPACE OF CURVES
KOUVIDAKIS, A
JOURNAL OF DIFFERENTIAL GEOMETRY, 1991, 34 (03) : 839 - 850
[7] Picard group of moduli of hyperelliptic curves
Sergey Gorchinskiy
Filippo Viviani
Mathematische Zeitschrift, 2008, 258 : 319 - 331
[8] Picard group of moduli of hyperelliptic curves
Gorchinskiy, Sergey
Viviani, Filippo
MATHEMATISCHE ZEITSCHRIFT, 2008, 258 (02) : 319 - 331
[9] The Picard group of the universal moduli space of vector bundles on stable curves
Fringuelli, Roberto
ADVANCES IN MATHEMATICS, 2018, 336 : 477 - 557
[10] On the Picard Group of the Moduli Space of Curves via r-Spin Structures
Gubarevich, Danil
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2024, 20

← 1 2 3 4 5 →