On the Picard group of the moduli scheme of stable curves in positive characteristic

被引：14

作者：

Ballico, E ^{[1
]}

机构：

[1] Univ Trent, Dept Math, I-38050 Povo, TN, Italy

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1998年 / 124卷 / 1-3期

关键词：

D O I：

10.1016/S0022-4049(96)00118-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we prove that the moduli space of genus g stable curves in characteristic p > 0 has (up to torsion) the same Betti numbers for the etale topology as the characteristic 0 moduli space and if p > 84(g - 1) the same Picard group (up to torsion). (C) 1998 Elsevier Science B.V.

引用

页码：1 / 5

页数：5

共 50 条

[1] Picard group of moduli of curves of low genus in positive characteristic
Di Lorenzo, Andrea
MANUSCRIPTA MATHEMATICA, 2021, 165 (3-4) : 339 - 361
[2] Picard group of moduli of curves of low genus in positive characteristic
Andrea Di Lorenzo
manuscripta mathematica, 2021, 165 : 339 - 361
[3] The Q-Picard group of the moduli space of curves in positive characteristic
Moriwaki, A
INTERNATIONAL JOURNAL OF MATHEMATICS, 2001, 12 (05) : 519 - 534
[4] The Picard group of the moduli stack of stable hyperelliptic curves
Cornalba, Maurizio
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2007, 18 (01) : 109 - 115
[5] The Picard group of the universal moduli space of vector bundles on stable curves
Fringuelli, Roberto
ADVANCES IN MATHEMATICS, 2018, 336 : 477 - 557
[6] Picard group of moduli of hyperelliptic curves
Sergey Gorchinskiy
Filippo Viviani
Mathematische Zeitschrift, 2008, 258 : 319 - 331
[7] Picard group of moduli of hyperelliptic curves
Gorchinskiy, Sergey
Viviani, Filippo
MATHEMATISCHE ZEITSCHRIFT, 2008, 258 (02) : 319 - 331
[8] 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
[9] Compactification of the universal Picard over the moduli of stable curves
Tyler J. Jarvis
Mathematische Zeitschrift, 2000, 235 : 123 - 149
[10] Compactification of the universal Picard over the moduli of stable curves
Jarvis, TJ
MATHEMATISCHE ZEITSCHRIFT, 2000, 235 (01) : 123 - 149

← 1 2 3 4 5 →