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 13 条

[1] EDIDIN D, 1993, DUKE MATH J, V67, P241
[2] EDIDIN D, EQUIVARIANT INTERSEC
[3] Fulton W., 2013, INTERSECTION THEORY, DOI DOI 10.1007/978-3-662-02421-8
[4] ON THE KODAIRA DIMENSION OF THE MODULI SPACE OF CURVES
HARRIS, J
MUMFORD, D
[J]. INVENTIONES MATHEMATICAE, 1982, 67 (01) : 23 - 86
[5] HARTSHORNE A, 1977, ALGEBRAIC GEOMETRY
[6] KLEIMAN SL, 1987, P SYMP PURE MATH, V46, P321
[7] LAUDAL OA, 1977, LECT NOTES MATH, V687, P150
[8] Milne J. S., 1980, PRINCETON MATH SERIE
[9] Mumford D., 1977, ENSEIGNEMENT MATH, V23, P39
[10] PIKAART M, 1994, MODULI CURVES NONABE

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