Witt Vectors and the Field with One Element

被引：0

作者：

Smirnov A.L. ^{[1
]}

机构：

[1] St.Petersburg Department of Steklov Mathematical Institute, St.Petersburg

来源：

Journal of Mathematical Sciences | 2020年 / 249卷 / 1期

关键词：

D O I：

10.1007/s10958-020-04923-w

中图分类号：

学科分类号：

摘要：

Witt vectors for Durov’s generalized rings are constructed. The ring of Witt vectors for the field with one element is calculated. A criterion for the projectivity of modules over the residue field at the Archimedean point is provided. This residue field is compared with the semiring of characteristic 1 in a construction of Connes and Consani. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：95 / 103

页数：8

共 50 条

[1] GENERALIZED WITT VECTORS
GRAHAM, JJ
ADVANCES IN MATHEMATICS, 1993, 99 (02) : 248 - 263
[2] Overconvergent Witt vectors
Davis, Christopher
Langer, Andreas
Zink, Thomas
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2012, 668 : 1 - 34
[3] An alternative to Witt vectors
Cuntz, Joachim
Deninger, Christopher
MUENSTER JOURNAL OF MATHEMATICS, 2014, 7 (01): : 105 - 114
[4] Lie powers and Witt vectors
R. M. Bryant
Marianne Johnson
Journal of Algebraic Combinatorics, 2008, 28 : 169 - 187
[5] Witt vectors and Fermat quotients
Di Bartolo, A.
Falcone, G.
JOURNAL OF NUMBER THEORY, 2008, 128 (05) : 1376 - 1387
[6] ASYMPTOTICS OF A SEQUENCE OF WITT VECTORS
BORWEIN, J
LOU, S
JOURNAL OF APPROXIMATION THEORY, 1992, 69 (03) : 326 - 337
[7] WITT VECTORS AND TRUNCATION POSETS
Angeltveit, Vigleik
THEORY AND APPLICATIONS OF CATEGORIES, 2017, 32 : 258 - 285
[8] NONARCHIMEDEAN GEOMETRY OF WITT VECTORS
Kedlaya, Kiran S.
NAGOYA MATHEMATICAL JOURNAL, 2013, 209 : 111 - 165
[9] Construction of the ring of Witt vectors
Hendrik W. Lenstra
European Journal of Mathematics, 2019, 5 : 1234 - 1241
[10] The norm map of Witt vectors
Angeltveit, Vigleik
COMPTES RENDUS MATHEMATIQUE, 2015, 353 (05) : 381 - 386

← 1 2 3 4 5 →