NON-ABELIAN COHOMOLOGY OF UNIVERSAL CURVES IN POSITIVE CHARACTERISTIC

被引：0

作者：

Watanabe, Tatsunari ^{[1
]}

机构：

[1] Embry Riddle Aeronaut Univ, Dept Math, 3700 Willow Creek Rd, Prescott, AZ 86301 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 01期

关键词：

RATIONAL-POINTS; FUNDAMENTAL GROUP;

D O I：

10.1090/proc/16542

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will compute the non-abelian cohomology of the universal complete curve in positive characteristic. This extends Hain's result on the non-abelian cohomology of generic curves in characteristic zero to positive characteristics. Furthermore, we will prove that the exact sequence of etale fundamental groups of the universal n-punctured curve in positive characteristic does not split.

引用

页码：89 / 103

页数：15

共 50 条

[1] PSEUDODIFFERENTIAL-OPERATORS AND CHARACTERISTIC CLASSES FOR NON-ABELIAN COHOMOLOGY
ANDERSSON, SI
LECTURE NOTES IN MATHEMATICS, 1984, 1045 : 1 - 10
[2] A FORM OF NON-ABELIAN COHOMOLOGY
ANTOINE, P
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (21): : 1244 - &
[3] On non-Abelian Leibniz cohomology
Khmaladze E.
Journal of Mathematical Sciences, 2013, 195 (4) : 481 - 485
[4] Non-abelian Hopf cohomology
Nuss, Philippe
Wambst, Marc
JOURNAL OF ALGEBRA, 2007, 312 (02) : 733 - 754
[5] Non-abelian cohomology of abelian Anosov actions
Katok, A
Nitica, V
Török, A
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2000, 20 : 259 - 288
[6] Non-abelian Hodge theory for algebraic curves in characteristic p
Chen, Tsao-Hsien
Zhu, Xinwen
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2015, 25 (06) : 1706 - 1733
[7] Non-abelian Hodge theory for algebraic curves in characteristic p
Tsao-Hsien Chen
Xinwen Zhu
Geometric and Functional Analysis, 2015, 25 : 1706 - 1733
[8] NON-ABELIAN COHOMOLOGY OF ASSOCIATIVE ALGEBRAS
LUE, AST
QUARTERLY JOURNAL OF MATHEMATICS, 1968, 19 (74): : 159 - &
[9] Antibrackets and non-abelian equivariant cohomology
Nersessian, A
MODERN PHYSICS LETTERS A, 1995, 10 (39) : 3043 - 3049
[10] SYMMETRY GROUPS AND NON-ABELIAN COHOMOLOGY
STREATER, RF
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 132 (01) : 201 - 215

← 1 2 3 4 5 →