Cycle class maps for Chow groups of zero-cycles with modulus

被引：2

作者：

Ruelling, Kay ^{[1
]}

Saito, Shuji ^{[2
]}

机构：

[1] Berg Univ Wuppertal, Gaussstr 20, D-42119 Wuppertal, Germany

[2] Univ Tokyo, Grad Sch Math Sci, 3-8-1 Komaba, Tokyo 1538941, Japan

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2023年 / 227卷 / 05期

关键词：

0-CYCLES;

D O I：

10.1016/j.jpaa.2022.107282

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a smooth scheme X of pure dimension d over a field k and an effective Cartier divisor D & SUB; X whose support is a simple normal crossing divisor, we construct a cycle class map cyc(X|D) : CH0(X|D) -> H-Nis(d )(X, K-d(M) (O-X, I-D)) from the Chow group of zero-cycles with modulus to the cohomology of the relative Milnor K-sheaf. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：17

共 50 条

[1] Hasse Principle for the Chow Groups of Zero-cycles on Quadric Fibrations
Sato, Kazuki
TOKYO JOURNAL OF MATHEMATICS, 2014, 37 (02) : 265 - 271
[2] The local-global exact sequence for Chow groups of zero-cycles
Liang, Yongqi
MATHEMATICAL RESEARCH LETTERS, 2015, 22 (01) : 169 - 182
[3] DIVISIBILITY IN THE CHOW GROUP OF ZERO-CYCLES ON A SINGULAR SURFACE
PEDRINI, C
WEIBEL, C
ASTERISQUE, 1994, (226) : 371 - 409
[4] On the Chow group of zero-cycles of a generalized Kummer variety
Lin, Hsueh-Yung
ADVANCES IN MATHEMATICS, 2016, 298 : 448 - 472
[5] On the Chow group of zero-cycles of Calabi–Yau hypersurfaces
Ivan Bazhov
manuscripta mathematica, 2017, 152 : 189 - 197
[6] Transcendence degree of zero-cycles and the structure of Chow motives
Gorchinskiy, Sergey
Guletskii, Vladimir
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (02): : 559 - 568
[7] ON THE CYCLE CLASS MAP FOR ZERO-CYCLES OVER LOCAL FIELDS
Esnault, Helene
Wittenberg, Olivier
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2016, 49 (02): : 483 - 520
[8] On the Chow group of zero-cycles of Calabi-Yau hypersurfaces
Bazhov, Ivan
MANUSCRIPTA MATHEMATICA, 2017, 152 (1-2) : 189 - 197
[9] Algebraization for zero-cycles and the p-adic cycle class map
Lueders, Morten
MATHEMATICAL RESEARCH LETTERS, 2019, 26 (02) : 557 - 585
[10] Zero-cycles with modulus and relative K-theory
Gupta, Rahul
Krishna, Amalendu
ANNALS OF K-THEORY, 2020, 5 (04) : 757 - 819

← 1 2 3 4 5 →