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

[41] Point counting on Picard curves in large characteristic
Bauer, M
Teske, E
Weng, A
MATHEMATICS OF COMPUTATION, 2005, 74 (252) : 1983 - 2005
[42] Picard bundle on the moduli space of torsionfree sheaves
Usha N Bhosle
Proceedings - Mathematical Sciences, 2020, 130
[43] Picard group of moduli of parabolic Higgs bundles
Roy, Sumit
COMMUNICATIONS IN ALGEBRA, 2023, 51 (02) : 724 - 728
[44] Picard bundle on the moduli space of torsionfree sheaves
Bhosle, Usha N.
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2020, 130 (01):
[45] Projective completion of moduli of t-connections on curves in positive and mixed characteristic
de Cataldo, Mark Andrea A.
Zhang, Siqing
ADVANCES IN MATHEMATICS, 2022, 401
[46] ON THE CO-HOMOLOGY AND THE PICARD GROUP OF A MODULI SPACE OF BUNDLES ON P3
NEWSTEAD, PE
QUARTERLY JOURNAL OF MATHEMATICS, 1982, 33 (131): : 349 - 355
[47] PROJECTIVE COMPLETION OF MODULI OF t-CONNECTIONS ON CURVES IN POSITIVE AND MIXED CHARACTERISTIC
de Cataldo, Mark Andrea A.
Zhang, Siqing
arXiv, 2021,
[48] THE PRIMARY APPROXIMATION TO THE COHOMOLOGY OF THE MODULI SPACE OF CURVES AND COCYCLES FOR THE STABLE CHARACTERISTIC CLASSES
Kawazumi, Nariya
Morita, Shigeyuki
MATHEMATICAL RESEARCH LETTERS, 1996, 3 (05) : 629 - 641
[49] On the rigidity of moduli of curves in arbitrary characteristic
Fantechi, Barbara
Massarenti, Alex
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017, 2017 (08) : 2431 - 2463
[50] THE PICARD GROUP OF VARIETIES OF MODULI OF SEMI-STABLE VECTOR-BUNDLES ON ALGEBRAIC-CURVES
DREZET, JM
NARASIMHAN, MS
INVENTIONES MATHEMATICAE, 1989, 97 (01) : 53 - 94

← 1 2 3 4 5 →